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- W4314937965 abstract "The complexity of the multiplication operation over polynomial rings and finite fields drastically changes with the selection of the defining polynomial of the respective mathematical structure. Trinomials and pentanomials are the most natural choices for the best arithmetic. In this paper, we first present a study in which a special type of trinomial does not require any reduction steps. We then introduce two new algorithms, FIKO and RF-FIKO, fully interleaved bit-parallel Karatsuba-Ofman multipliers where the latter is only concerned with the three Karatsuba-Ofman terms and is free from the bipartite reduction circuits. All algorithms are implemented in FPGA and ASIC, and detailed implementation results are presented, showing significant improvements to existing methods." @default.
- W4314937965 created "2023-01-10" @default.
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- W4314937965 date "2023-01-01" @default.
- W4314937965 modified "2023-10-17" @default.
- W4314937965 title "Reduction-Free Multiplication for Finite Fields and Polynomial Rings" @default.
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- W4314937965 doi "https://doi.org/10.1007/978-3-031-22944-2_4" @default.
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