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On finite field arithmetic in characteristic 2
Finite Fields and Their Applications ( IF 1 ) Pub Date : 2020-09-03 , DOI: 10.1016/j.ffa.2020.101739
Tony Ezome , Mohamadou Sall

We are interested in extending normal bases of F2n/F2 to bases of F2nd/F2 which allow fast arithmetic in F2nd. This question has been studied by Thomson and Weir in 2018 in case d is equal to 2. We construct efficient extended bases in case d is equal to 3 and 4. We also give conditions under which Thomson-Weir construction can be combined with ours.



中文翻译:

关于特征2中的有限域算术

我们有兴趣扩展...的正常基础 F2ñ/F2 的基础 F2ñd/F2 允许快速算术 F2ñd。在d等于2的情况下,Thomson和Weir在2018年对该问题进行了研究。在d等于3和4的情况下,我们构造了有效的扩展基。我们还给出了可以将Thomson-Weir构造与我们的构造相结合的条件。

更新日期:2020-09-03
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