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- W2891567415 abstract "Polynomial multiplication over binary fields $mathbb{F}_{2^{n}}$ is a common primitive, used for example by current cryptosystems such as AES-GCM (with $n=128)$ . It also turns out to be a primitive for other cryptosystems, that are being designed for the Post Quantum era, with values $ngg 128$ . Examples from the recent submissions to the NIST Post-Quantum Cryptography project, are BIKE, LEDAKem, and GeMSS, where the performance of the polynomial multiplications, is significant. Therefore, efficient polynomial multiplication over $mathbb{F}_{2^{n}}$ , with large $n$ , is a significant emerging optimization target. Anticipating future applications, Intel has recently announced that its future architecture (codename “Ice Lake”) will introduce a new vectorized way to use the current VPCLMULQDQ instruction. In this paper, we demonstrate how to use this instruction for accelerating polynomial multiplication. Our analysis shows a prediction for at least 2x speedup for multiplications with polynomials of degree 512 or more." @default.
- W2891567415 created "2018-09-27" @default.
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- W2891567415 date "2018-06-01" @default.
- W2891567415 modified "2023-09-27" @default.
- W2891567415 title "Fast multiplication of binary polynomials with the forthcoming vectorized VPCLMULQDQ instruction" @default.
- W2891567415 cites W2001121794 @default.
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- W2891567415 doi "https://doi.org/10.1109/arith.2018.8464777" @default.
- W2891567415 hasPublicationYear "2018" @default.
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