2.2.1.2 Cryptographic Parameters

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The following 160-bit elliptic curve cryptography (ECC) curve is used in this document.

ECC1

Parameter

Value

p(modulus)

0x89abcdef012345672718281831415926141424f7

a

0x37a5abccd277bce87632ff3d4780c009ebe41497

b

0x0dd8dabf725e2f3228e85f1ad78fdedf9328239e

generator x

0x8723947fd6a3a1e53510c07dba38daf0109fa120

generator y

0x445744911075522d8c3c5856d4ed7acda379936f

curve order

0x89abcdef012345672716b26eec14904428c2a675

Prior to encryption, the plaintext (length 1 – 16 bytes) is prepared with the following sequence of operations:

  1. Copy the plaintext into a buffer, "x", comprising five DWORDs.

  2. The fifth DWORD of x is set to zero.

  3. If there is a solution for y in the following equation, x|y is now ready for encryption.

     (y^2) mod p = (x^3 + ax + b) mod p
           

  4. If there is no solution to this equation, increment the fifth DWORD of x and repeat the preceding step.