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- W2481001706 abstract "Wu recently proposed three types of irreducible polynomials for low-complexity bit-parallel multipliers over F 2 n . In this paper, we consider new classes of irreducible polynomials for low-complexity bit-parallel multipliers over F 2 n , namely, repeated polynomial (RP). The complexity of the proposed multipliers is lower than those based on irreducible pentanomials. A repeated polynomial can be classified by the complexity of bit-parallel multiplier based on RPs, namely, C1, C2 and C3. If we consider finite fields that have neither a ESP nor a trinomial as an irreducible polynomial when n ≤ 1000 , then, in Wu’s result, only 11 finite fields exist for three types of irreducible polynomials when n ≤ 1000 . However, in our result, there are 181, 232(52.4%), and 443(100%) finite fields of class C1, C2 and C3, respectively." @default.
- W2481001706 created "2016-08-23" @default.
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- W2481001706 date "2018-05-01" @default.
- W2481001706 modified "2023-10-16" @default.
- W2481001706 title "Low complexity bit-parallel multiplier forF2ndefined by repeated polynomials" @default.
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- W2481001706 doi "https://doi.org/10.1016/j.dam.2016.07.014" @default.
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