Function gf2^10mult finds product of two elements of a field GF(210), a=a0+a1x+a2x2+a3x3+a4x4+a5x5+a6x6+a7x7+a8x8+a9x9
and b=b0+b1x+b2x2+b3x3+b4x4+b5x5+b6x6+b7x7+b8x8+b9x9
with the output, ab=c=c0+c1x+c2x2+c3x3+c4x4+c5x5+c6x6+c7x7+c8x8+c9x9
written on the last 10 bits. Inputs a and b must remain unchanged.
Primitive polynomial | Picture | Machine-readable version | Model | Garbage | Gate count | Quantum cost | Author(s) | Date |
x10+x3+1 | here | here | CNT | 20 | 109 | 509 | D. Cheung, D. Maslov, J. Mathew, and D. K. Pradhan | July, 2010 |