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85 lines
1.9 KiB
Plaintext
85 lines
1.9 KiB
Plaintext
:: |rsa: primitive, textbook RSA
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::
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:: Unpadded, unsafe, unsuitable for encryption!
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::
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|%
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:: +key:rsa: rsa public or private key
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::
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+$ key
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$: :: pub: public parameters (n=modulus, e=pub-exponent)
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::
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pub=[n=@ux e=@ux]
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:: sek: secret parameters (d=private-exponent, p/q=primes)
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::
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sek=(unit [d=@ux p=@ux q=@ux])
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==
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:: +ramp: make rabin-miller probabilistic prime
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::
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:: XX replace +ramp:number?
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:: a: bitwidth
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:: b: snags (XX small primes to check divisibility?)
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:: c: entropy
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::
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++ ramp
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|= [a=@ b=(list @) c=@]
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=. c (shas %ramp c)
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:: XX what is this value?
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::
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=| d=@
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|- ^- @ux
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:: XX what is this condition?
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::
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?: =((mul 100 a) d)
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~|(%ar-ramp !!)
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:: e: prime candidate
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::
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:: Sets low bit, as prime must be odd.
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:: Sets high bit, as +raw:og only gives up to :a bits.
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::
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=/ e :(con 1 (lsh [0 (dec a)] 1) (~(raw og c) a))
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:: XX what algorithm is this modular remainder check?
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::
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?: ?& (levy b |=(f=@ !=(1 (mod e f))))
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(pram:number e)
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==
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e
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$(c +(c), d (shax d))
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:: +elcm:rsa: carmichael totient
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::
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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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:: +new-key:rsa: write somethingXXX
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::
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++ new-key
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=/ e `@ux`65.537
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|= [wid=@ eny=@]
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^- key
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=/ diw (rsh 0 wid)
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=/ p=@ux (ramp diw [3 5 ~] eny)
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=/ q=@ux (ramp diw [3 5 ~] +(eny))
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=/ n=@ux (mul p q)
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=/ d=@ux (~(inv fo (elcm (dec p) (dec q))) e)
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[[n e] `[d p q]]
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:: +en:rsa: primitive RSA encryption
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::
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:: ciphertext = message^e (mod n)
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::
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++ en
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|= [m=@ k=key]
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~| %rsa-len
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?> (lte (met 0 m) (met 0 n.pub.k))
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(~(exp fo n.pub.k) e.pub.k m)
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:: +de:rsa: primitive RSA decryption
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::
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:: message = ciphertext^d (mod e)
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::
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++ de
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|= [m=@ k=key]
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:: XX assert rsa-len here too?
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~| %rsa-need-ring
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?> ?=(^ sek.k)
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=/ fu (fu:number p.u.sek.k q.u.sek.k)
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(out.fu (exp.fu d.u.sek.k (sit.fu m)))
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--
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