Reversible Logic Synthesis Benchmarks Page

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Function gf2^18mult finds product of two elements, a and b, of a field GF(218)=GF(262,144). The output, c=ab, is written onto the last 18 bits. Inputs a and b must remain unchanged.
Primitive polynomial Picture Machine-readable version Model Garbage Gate count Quantum cost Author(s) Date
x18+x5+x2+x+1 N/A (too large) here CNT 36 375 1671 D. Cheung, D. Maslov, J. Mathew, and D. K. Pradhan July, 2010
m - the number is shown to be minimal