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- W2155780234 abstract "A new bit-parallel Montgomery multiplier for GF ( 2 m ) is presented, where the field is generated with an irreducible trinomial. We first present a slightly generalized version of a newly proposed divide and conquer approach. Then, by combining this approach and a carefully chosen Montgomery factor, we can implement field multiplication using a composition of small polynomial multiplications and Montgomery squarings, which are simpler and more efficient. As a result, the proposed multiplier roughly saves m 2 2 logic gates compared with the fastest multipliers, with time complexity as good as or better than previous Karatsuba-based multipliers for the same class of fields. HighlightsWe construct a bit-parallel Montgomery multiplier over GF ( 2 m ) generated with all the irreducible trinomials using squaring operations.The space complexity of our proposal saves about m 2 / 2 logic gates than any other Montgomery or Mastrovito multipliers for trinomials, and matches the Karatsuba multiplier.The time complexity of our proposal is slightly higher than the fastest multipliers, but no more than 2 T X ." @default.
- W2155780234 created "2016-06-24" @default.
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- W2155780234 date "2016-01-01" @default.
- W2155780234 modified "2023-09-27" @default.
- W2155780234 title "New bit-parallel Montgomery multiplier for trinomials using squaring operation" @default.
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- W2155780234 doi "https://doi.org/10.1016/j.vlsi.2015.09.007" @default.
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