mirror of
https://github.com/urbit/shrub.git
synced 2024-12-21 01:41:37 +03:00
138 lines
4.5 KiB
Plaintext
138 lines
4.5 KiB
Plaintext
/+ primitive-rsa, *test
|
|
=* rsa primitive-rsa
|
|
|%
|
|
++ test-rsakey
|
|
=/ primes=(list @)
|
|
:~ 2 3 5 7 11 13 17 19 23 29 31 37 41 43
|
|
47 53 59 61 67 71 73 79 83 89 97 101 103 107
|
|
109 113 127 131 137 139 149 151 157 163 167 173 179 181
|
|
191 193 197 199 211 223 227 229 233 239 241 251 257 263
|
|
269 271 277 281 283 293 307 311 313 317 331 337 347 349
|
|
353 359 367 373 379 383 389 397 401 409 419 421 431 433
|
|
439 443 449 457 461 463 467 479 487 491 499 503 509 521
|
|
523 541 547 557 563 569 571 577 587 593 599 601 607 613
|
|
617 619 631 641 643 647 653 659 661 673 677 683 691 701
|
|
709 719 727 733 739 743 751
|
|
==
|
|
=/ k1 (new-key:rsa 2.048 0xdead.beef)
|
|
::
|
|
=/ k2=key:rsa
|
|
=/ p 0x1837.be57.1286.bf6a.3cf8.4716.634f.ef85.f947.c654.da6e.e222.
|
|
5654.9466.0ab0.a2ef.1985.1095.e3c3.9e74.9478.e3f3.ee92.f885.ec3c.
|
|
84c3.6b3c.9731.65f9.9d1d.f743.646f.37d7.82d8.3f4a.856c.6453.b2c8.
|
|
28d5.d720.145e.c7ab.4ba9.a9c2.6b8e.8819.7aa8.69b3.420f.dbfa.1ddb.
|
|
4d1a.9c2e.e25a.d4de.d351.945f.d7ca.74a4.815d.5f0e.9f44.df64.39bd
|
|
=/ q 0xf1bc.ec8f.d238.32d9.afb8.8083.76b3.82da.6274.f56e.1b5b.662b.
|
|
ab1b.1e01.fbd5.86c5.ba98.b246.b621.f190.2425.25ea.b39f.efa2.4fb8.
|
|
0d6b.c3c4.460d.e7df.d2f5.6604.51e0.415b.db60.db5a.6601.16c7.46ec.
|
|
5e67.9195.f3c9.80d3.47c5.fe24.fbfd.43c3.380a.40bd.c4f5.d65e.b93b.
|
|
60ca.5f26.4ed7.9c64.d26d.b0fe.985d.7be3.1308.34dd.b8c5.4d7c.d8a5
|
|
=/ n (mul p q)
|
|
=/ e 0x1.0001
|
|
=/ d (~(inv fo (elcm:rsa (dec p) (dec q))) e)
|
|
[[n e] `[d p q]]
|
|
::
|
|
|^ ^- tang
|
|
;: weld
|
|
(check-primes k1)
|
|
(check-primes k2)
|
|
==
|
|
++ check-primes
|
|
=, number
|
|
|= k=key:rsa
|
|
?> ?=(^ sek.k)
|
|
%+ roll primes
|
|
|= [p=@ a=tang]
|
|
?^ a a
|
|
?: =(0 (mod n.pub.k p))
|
|
:~ leaf+"{(scow %ux n.pub.k)}"
|
|
:- %leaf
|
|
%+ weld
|
|
"n.pub.key (prime? {(scow %f (pram n.pub.k))})"
|
|
" divisible by {(scow %ud p)}:"
|
|
==
|
|
?: =(0 (mod p.u.sek.k p))
|
|
:~ leaf+"{(scow %ux p.u.sek.k)}"
|
|
:- %leaf
|
|
%+ weld
|
|
"p.u.sek.key (prime? {(scow %f (pram p.u.sek.k))})"
|
|
" divisible by {(scow %ud p)}:"
|
|
==
|
|
?: =(0 (mod q.u.sek.k p))
|
|
:~ leaf+"{(scow %ux q.u.sek.k)}"
|
|
:- %leaf
|
|
%+ weld
|
|
"q.u.sek.key (prime? {(scow %f (pram q.u.sek.k))})"
|
|
" divisible by {(scow %ud p)}:"
|
|
==
|
|
~
|
|
--
|
|
::
|
|
++ test-rsa
|
|
=/ k1=key:rsa
|
|
=/ p `@ux`61
|
|
=/ q `@ux`53
|
|
=/ e `@ux`17
|
|
=/ n (mul p q)
|
|
=/ d (~(inv fo (elcm:rsa (dec p) (dec q))) e)
|
|
[[n e] `[d p q]]
|
|
::
|
|
=/ k2=key:rsa
|
|
:- [`@ux`143 `@ux`7]
|
|
[~ `@ux`103 `@ux`11 `@ux`13]
|
|
::
|
|
:: ex from http://doctrina.org/How-RSA-Works-With-Examples.html
|
|
=/ k3=key:rsa
|
|
=/ p
|
|
12.131.072.439.211.271.897.323.671.531.612.440.428.472.427.633.701.410.
|
|
925.634.549.312.301.964.373.042.085.619.324.197.365.322.416.866.541.
|
|
017.057.361.365.214.171.711.713.797.974.299.334.871.062.829.803.541
|
|
=/ q
|
|
12.027.524.255.478.748.885.956.220.793.734.512.128.733.387.803.682.075.
|
|
433.653.899.983.955.179.850.988.797.899.869.146.900.809.131.611.153.
|
|
346.817.050.832.096.022.160.146.366.346.391.812.470.987.105.415.233
|
|
=/ n (mul p q)
|
|
=/ e 65.537
|
|
=/ d (~(inv fo (elcm:rsa (dec p) (dec q))) e)
|
|
[[`@ux`n `@ux`e] `[`@ux`d `@ux`p `@ux`q]]
|
|
=/ m3 (swp 3 'attack at dawn')
|
|
=/ c3
|
|
35.052.111.338.673.026.690.212.423.937.053.328.511.880.760.811.579.981.
|
|
620.642.802.346.685.810.623.109.850.235.943.049.080.973.386.241.113.
|
|
784.040.794.704.193.978.215.378.499.765.413.083.646.438.784.740.952.
|
|
306.932.534.945.195.080.183.861.574.225.226.218.879.827.232.453.912.
|
|
820.596.886.440.377.536.082.465.681.750.074.417.459.151.485.407.445.
|
|
862.511.023.472.235.560.823.053.497.791.518.928.820.272.257.787.786
|
|
::
|
|
?> ?=(^ sek.k1)
|
|
;: weld
|
|
%+ expect-eq
|
|
!> `@ux`413
|
|
!> d.u.sek.k1
|
|
::
|
|
%+ expect-eq
|
|
!> 2.790
|
|
!> (en:rsa 65 k1)
|
|
::
|
|
%+ expect-eq
|
|
!> 65
|
|
!> (de:rsa 2.790 k1)
|
|
::
|
|
%+ expect-eq
|
|
!> 48
|
|
!> (en:rsa 9 k2)
|
|
::
|
|
%+ expect-eq
|
|
!> 9
|
|
!> (de:rsa 48 k2)
|
|
::
|
|
%+ expect-eq
|
|
!> c3
|
|
!> (en:rsa m3 k3)
|
|
::
|
|
%+ expect-eq
|
|
!> m3
|
|
!> (de:rsa c3 k3)
|
|
==
|
|
--
|