+++ /dev/null
-# Test vectors for Montgomery reduction
-#
-# $Id: mpmont,v 1.2 1999/11/19 13:18:39 mdw Exp $
-
-create {
- 340809809850981098423498794792349 # m
- 266454859 # -m^{-1} mod b
- 130655606683780235388773757767708 # R mod m
- 237786678640282040194246459306177; # R^2 mod m
-}
-
-mul {
- 43289823545
- 234324324
- 6456542564
- 10807149256;
-}
-
-exp {
- 4325987397987458979875737589783
- 435365332435654643667
- 8745435676786567758678547
- 2439674515119108242643169132064;
-
- # --- Bizarre bug ---
- #
- # This was caused by omission of the test-and-subtract step in the
- # Montgomery reduction.
-
- 8939489893434234331 1804289383 454353454354565 6139425926295484741;
- 8939489893434234331 1804289383 8939489893434234330 1;
-
- # --- Quick RSA test ---
-
- 905609324890967090294090970600361 # This is p
- 3
- 905609324890967090294090970600360 # This is (p - 1)
- 1; # Fermat test: p is prime
-
- 734589569806680985408670989082927 # This is q
- 5
- 734589569806680985408670989082926 # And this is (q - 1)
- 1; # Fermat again: q is prime
-
- # --- Encrypt a message ---
- #
- # The public and private exponents are from the GCD test. The message
- # is just obvious. The modulus is the product of the two primes above.
-
- 665251164384574309450646977867045404520085938543622535546005136647
- 123456789012345678901234567890123456789012345678901234567890
- 5945908509680983480596809586040589085680968709809890671
- 25906467774034212974484417859588980567136610347807401817990462701;
-
- # --- And decrypt it again ---
-
- 665251164384574309450646977867045404520085938543622535546005136647
- 25906467774034212974484417859588980567136610347807401817990462701
- 514778499400157641662814932021958856708417966520837469125919104431
- 123456789012345678901234567890123456789012345678901234567890;
-}
-
-# --- Simultaneous exponentiation ---
-
-mexp-1 {
- 4325987397987458979875737589783
- 435365332435654643667
- 8745435676786567758678547
- 2439674515119108242643169132064;
-}
-
-mexp-2 {
- 16_8df2a494492276aa3d25759bb06869cbeac0d83afb8d0cf7cbb8324f0d7882e5d0762fc5b7210eafc2e9adac32ab7aac49693dfbf83724c2ec0736ee31c80291
- 16_626d027839ea0a13413163a55b4cb500299d5522956cefcb3bff10f399ce2c2e71cb9de5fa24babf58e5b79521925c9cc42e9f6f464b088cc572af53e6d78802
- 16_bf655bd046f0b35ec791b004804afcbb8ef7d69d
- 16_19131871d75b1612a819f29d78d1b0d7346f7aa77bb62a859bfd6c5675da9d212d3a36ef1672ef660b8c7c255cc0ec74858fba33f44c06699630a76b030ee333
- 16_821a926312e97adeabcc8d082b5278978a2df4b0
- 16_2fc6cb9ac3be0eac3daf02eefb96fca3846708a28dd05730165fe50942f7f07edfef8e52fcb9369e3814aa24607e80475d0e61ad461d6b16b6cec5baae58946e;
-}