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601 lines
11 KiB
Markdown
601 lines
11 KiB
Markdown
section 3bB, cryptosuites
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=========================
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<h3 id="++crua"><code>++crua</code></h3>
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++ crua !: :: cryptosuite A (RSA)
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^- acru
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=| [mos=@ pon=(unit ,[p=@ q=@ r=[p=@ q=@] s=_*fu])]
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=> |%
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XX document
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<h3 id="++mx"><code>++mx</code></h3>
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++ mx (dec (met 0 mos)) :: bit length
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XX document
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<h3 id="++dap"><code>++dap</code></h3>
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++ dap :: OEAP decode
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|= [wid=@ xar=@ dog=@] ^- [p=@ q=@]
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=+ pav=(sub wid xar)
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=+ qoy=(cut 0 [xar pav] dog)
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=+ dez=(mix (end 0 xar dog) (shaw %pad-b xar qoy))
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[dez (mix qoy (shaw %pad-a pav dez))]
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::
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XX document
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<h3 id="++pad"><code>++pad</code></h3>
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++ pad :: OEAP encode
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|= [wid=@ rax=[p=@ q=@] meg=@] ^- @
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=+ pav=(sub wid p.rax)
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?> (gte pav (met 0 meg))
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^- @
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=+ qoy=(mix meg (shaw %pad-a pav q.rax))
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=+ dez=(mix q.rax (shaw %pad-b p.rax qoy))
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(can 0 [p.rax dez] [pav qoy] ~)
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|%
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XX document
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<h3 id="++pull"><code>++pull</code></h3>
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++ pull |=(a=@ (~(exp fo mos) 3 a))
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XX document
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<h3 id="++push"><code>++push</code></h3>
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++ push |=(a=@ (~(exp fo mos) 5 a))
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XX document
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<h3 id="++pump"><code>++pump</code></h3>
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++ pump
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|= a=@ ^- @
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?~ pon !!
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(out.s.u.pon (exp.s.u.pon p.r.u.pon (sit.s.u.pon a)))
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::
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XX document
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<h3 id="++punt"><code>++punt</code></h3>
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++ punt
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|= a=@ ^- @
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?~ pon !!
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(out.s.u.pon (exp.s.u.pon q.r.u.pon (sit.s.u.pon a)))
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|%
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XX document
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<h3 id="++as"><code>++as</code></h3>
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++ as
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=> |%
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XX document
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<h3 id="++haul"><code>++haul</code></h3>
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++ haul :: revealing haul
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|= a=pass
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!!
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^?
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|% ++ seal
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|= [a=pass b=@ c=@]
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^- @
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!!
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XX document
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<h3 id="++seal"><code>++seal</code></h3>
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XX document
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###++sign
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```
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++ sign
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|= [a=@ b=@] ^- @
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!!
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```
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XX document
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###++sure
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```
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++ sure
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|= [a=@ b=@]
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^- (unit ,@)
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!!
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```
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XX document
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###++tear
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```
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++ tear
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|= [a=pass b=@]
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^- (unit ,[p=@ q=@])
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!!
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::
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```
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XX document
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###++de
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```
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++ de
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|+ [key=@ cep=@] ^- (unit ,@)
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!!
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::
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```
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XX document
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###++dy
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```
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++ dy
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|+ [a=@ b=@] ^- @
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!!
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```
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XX document
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###++en
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```
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++ en
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|+ [key=@ msg=@] ^- @ux
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!!
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::
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```
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XX document
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###++ex
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```
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++ ex ^?
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|% ++ fig ^- @uvH (shaf %bfig puc)
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```
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XX document
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###++fig
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XX document
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<h3 id="++pac"><code>++pac</code></h3>
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++ pac ^- @uvG (end 6 1 (shaf %acod sec))
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XX document
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<h3 id="++pub"><code>++pub</code></h3>
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++ pub ^- pass (cat 3 'b' puc)
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XX document
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<h3 id="++sec"><code>++sec</code></h3>
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++ sec ^- ring sed
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::
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XX document
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<h3 id="++nu"><code>++nu</code></h3>
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++ nu
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^?
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|% ++ com
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|= a=@
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^+ ^?(..nu)
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..nu(sed ~, puc a)
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::
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XX document
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<h3 id="++elcm"><code>++elcm</code></h3>
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++ elcm
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|= [a=@ b=@]
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(div (mul a b) d:(egcd a b))
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::
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XX document
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<h3 id="++eldm"><code>++eldm</code></h3>
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++ eldm
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|= [a=@ b=@ c=@]
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(~(inv fo (elcm (dec b) (dec c))) a)
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::
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XX document
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<h3 id="++ersa"><code>++ersa</code></h3>
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++ ersa
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|= [a=@ b=@]
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[a b [(eldm 3 a b) (eldm 5 a b)] (fu a b)]
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^?
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|% ++ com
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|= a=@
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^+ ^?(..nu)
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..nu(mos a, pon ~)
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::
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XX document
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<h3 id="++com"><code>++com</code></h3>
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XX document
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###++pit
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```
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++ pit
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|= [a=@ b=@]
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^+ ^?(..nu)
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..nu(sed b, puc (puck:ed b))
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::
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```
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XX document
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###++nol
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```
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++ nol
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|= a=@
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^+ ^?(..nu)
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..nu(sed a, puc (puck:ed a))
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```
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XX document
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###++bruw
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```
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++ bruw :: create keypair
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|= [a=@ b=@] :: width seed
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^- acru
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(pit:nu:crua a b)
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::
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```
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XX document
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###++haul
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```
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++ haul :: revealing haul
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|= a=pass
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!!
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^?
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|% ++ seal
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|= [a=pass b=@ c=@]
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^- @
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!!
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```
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XX document
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###++weur
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```
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++ weur :: activate secret key
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|= a=ring
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^- acru
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=+ [mag=(end 3 1 a) bod=(rsh 3 1 a)]
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?> =('A' mag)
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(nol:nu:crua bod)
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::
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```
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XX document
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###++trua
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```
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++ trua :: test rsa
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|= msg=@tas
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^- @
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=+ ali=(bruw 1.024 (shax 'ali'))
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=+ bob=(bruw 1.024 (shax 'bob'))
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=+ tef=(sign:as.ali [0 msg])
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=+ lov=(sure:as.ali [0 tef])
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?. &(?=(^ lov) =(msg u.lov))
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~|(%test-fail-sign !!)
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=+ key=(shax (shax (shax msg)))
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=+ sax=(seal:as.ali pub:ex.bob key msg)
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=+ tin=(tear:as.bob pub:ex.ali sax)
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?. &(?=(^ tin) =(key p.u.tin) =(msg q.u.tin))
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~|(%test-fail-seal !!)
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msg
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::
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```
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XX document
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###++crub
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```
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++ crub :: cryptosuite B (Ed)
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^- acru
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=| [puc=pass sed=ring]
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=> |%
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```
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XX document
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###++dap
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```
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++ dap :: OEAP decode
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|= [wid=@ xar=@ dog=@] ^- [p=@ q=@]
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=+ pav=(sub wid xar)
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=+ qoy=(cut 0 [xar pav] dog)
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=+ dez=(mix (end 0 xar dog) (shaw %pad-b xar qoy))
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[dez (mix qoy (shaw %pad-a pav dez))]
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::
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```
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XX document
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###++pad
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```
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++ pad :: OEAP encode
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|= [wid=@ rax=[p=@ q=@] meg=@] ^- @
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=+ pav=(sub wid p.rax)
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?> (gte pav (met 0 meg))
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^- @
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=+ qoy=(mix meg (shaw %pad-a pav q.rax))
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=+ dez=(mix q.rax (shaw %pad-b p.rax qoy))
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(can 0 [p.rax dez] [pav qoy] ~)
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|%
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```
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XX document
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###++as
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```
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++ as
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=> |%
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```
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XX document
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###++haul
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```
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++ haul :: revealing haul
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|= a=pass
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!!
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^?
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|% ++ seal
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|= [a=pass b=@ c=@]
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^- @
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!!
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```
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XX document
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###++seal
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XX document
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<h3 id="++sign"><code>++sign</code></h3>
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++ sign
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|= [a=@ b=@] ^- @
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!!
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XX document
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<h3 id="++sure"><code>++sure</code></h3>
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++ sure
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|= [a=@ b=@]
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^- (unit ,@)
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!!
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XX document
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<h3 id="++tear"><code>++tear</code></h3>
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++ tear
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|= [a=pass b=@]
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^- (unit ,[p=@ q=@])
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!!
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::
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XX document
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<h3 id="++de"><code>++de</code></h3>
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++ de
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|+ [key=@ cep=@] ^- (unit ,@)
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!!
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::
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XX document
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<h3 id="++dy"><code>++dy</code></h3>
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++ dy
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|+ [a=@ b=@] ^- @
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!!
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XX document
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<h3 id="++en"><code>++en</code></h3>
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++ en
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|+ [key=@ msg=@] ^- @ux
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!!
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::
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XX document
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<h3 id="++ex"><code>++ex</code></h3>
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++ ex ^?
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|% ++ fig ^- @uvH (shaf %bfig puc)
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XX document
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<h3 id="++fig"><code>++fig</code></h3>
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XX document
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###++pac
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```
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++ pac ^- @uvG (end 6 1 (shaf %acod sec))
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```
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XX document
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###++pub
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```
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++ pub ^- pass (cat 3 'b' puc)
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```
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XX document
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###++sec
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```
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++ sec ^- ring sed
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::
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```
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XX document
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###++nu
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```
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++ nu
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^?
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|% ++ com
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|= a=@
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^+ ^?(..nu)
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..nu(sed ~, puc a)
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::
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```
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XX document
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###++com
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XX document
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<h3 id="++pit"><code>++pit</code></h3>
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++ pit
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|= [a=@ b=@]
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^+ ^?(..nu)
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..nu(sed b, puc (puck:ed b))
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::
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XX document
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<h3 id="++nol"><code>++nol</code></h3>
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++ nol
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|= a=@
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^+ ^?(..nu)
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..nu(sed a, puc (puck:ed a))
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XX document
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<h3 id="++brew"><code>++brew</code></h3>
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++ brew :: create keypair
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|= [a=@ b=@] :: width seed
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^- acru
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(pit:nu:crub a b)
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::
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XX document
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<h3 id="++hail"><code>++hail</code></h3>
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++ hail :: activate public key
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|= a=pass
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^- acru
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=+ [mag=(end 3 1 a) bod=(rsh 3 1 a)]
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?> =('b' mag)
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(com:nu:crub bod)
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::
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XX document
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<h3 id="++wear"><code>++wear</code></h3>
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++ wear :: activate secret key
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|= a=ring
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^- acru
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=+ [mag=(end 3 1 a) bod=(rsh 3 1 a)]
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?> =('b' mag)
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(nol:nu:crub bod)
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::
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XX document
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<h3 id="++trub"><code>++trub</code></h3>
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++ trub :: test ed
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|= msg=@tas
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^- @
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=+ ali=(brew 1.024 (shax 'ali'))
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=+ bob=(brew 1.024 (shax 'bob'))
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=+ tef=(sign:as.ali [0 msg])
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=+ lov=(sure:as.ali [0 tef])
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?. &(?=(^ lov) =(msg u.lov))
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~|(%test-fail-sign !!)
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=+ key=(shax (shax (shax msg)))
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=+ sax=(seal:as.ali pub:ex.bob key msg)
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=+ tin=(tear:as.bob pub:ex.ali sax)
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?. &(?=(^ tin) =(key p.u.tin) =(msg q.u.tin))
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~|(%test-fail-seal !!)
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msg
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::
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XX document
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<h3 id="++hmac"><code>++hmac</code></h3>
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++ hmac :: HMAC-SHA1
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|= [key=@ mes=@]
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=+ ip=(fil 3 64 0x36)
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=+ op=(fil 3 64 0x5c)
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=+ ^= kex
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?: (gth (met 3 key) 64)
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(lsh 3 44 (shan (swap 3 key)))
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(lsh 3 (sub 64 (met 3 key)) (swap 3 key))
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=+ inn=(shan (swap 3 (cat 3 (swap 3 mes) (mix ip kex))))
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(shan (swap 3 (cat 3 inn (mix op kex))))
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::
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XX document
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