Reversible Logic Synthesis Benchmarks Page

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Function gf2^16mult finds product of two elements, a and b, of a field GF(216)=GF(65,536). The output, c=ab, is written onto the last 16 bits. Inputs a and b must remain unchanged.
Primitive polynomial Picture Machine-readable version Model Garbage Gate count Quantum cost Author(s) Date
x16+x5+x3+x2+1 N/A (too large) here CNT 32 301 1325 D. Cheung, D. Maslov, J. Mathew, and D. K. Pradhan July, 2010
m - the number is shown to be minimal