Cryptography and Coding - 19th IMA International Conference, IMACC 2023, London, UK, December 12-14, 2023, Proceedings
Cryptography and Coding - 19th IMA International Conference, IMACC 2023, London, UK, December 12-14, 2023, Proceedings
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密码学和编码 - 第 19 届 IMA 国际会议，IMACC 2023，英国伦敦，2023 年 12 月 12-14 日，会议记录
DOI：
10.1007/978-3-031-47818-5_2
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发表时间：
2024
期刊：
影响因子：
--
通讯作者：
Carlet C
中科院分区：
文献类型：
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作者：
Carlet C
陪集先导的概念在编码理论和密码学中都有应用。它已经在几篇论文中进行了研究。本文将最近对一阶Reed-Muller码的陪集先导的研究推广到两类布尔函数，这两类布尔函数在布尔函数的不同领域中起着重要的作用，而这两类布尔函数的研究在本文中是缺失的。刻画了属于Niho函数族和门限函数族(这第二类是多数函数族的推广)的陪集领导者。
The notion of coset leader has applications in coding theory and cryptography. It has been studied in several papers. In this paper, we extend a recent study, made on the coset leaders of the first order Reed-Muller codes, to two classes of Boolean functions which have played an important role in diverse domains of Boolean functions, and whose study was missing in this context. We characterize the coset leaders that belong to the classes of Niho functions and threshold functions (this second class being a generalization of the class of majority functions).