Optimized Interpolation of Four-Term Karatsuba Multiplication and a Method of Avoiding Negative Multiplicands

IEEE Transactions on Circuits and Systems I: Regular Papers(2022)

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摘要
In this paper, we presented a method of minimizing the number of overlapped partial products in the accumulation of four-term Karatsuba multiplication. This method reduced the summation of 13 overlapped partial products to 9 and the summation of 40 overlapped partial products to 24 in the case of four-term Karatsuba multiplication and eight-term Karatsuba multiplication, respectively. Moreover, to...
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关键词
Interpolation,Arithmetic,Cryptography,Parallel processing,Indexes,Field programmable gate arrays,Elliptic curve cryptography
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