首页|与弱正则高原平衡函数相关的线性码

与弱正则高原平衡函数相关的线性码

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运用两个弱正则高原平衡函数,设计适当的定义集,构造基于定义集的多种线性码.利用Walsh变换与指数和的性质确定线性码的重量分布.这些线性码都具有较少的非零重量,可应用于秘密共享方案和结合方案等领域.
Linear codes associated with weakly regular plateaued balanced functions
Several families of linear codes are constructed based on the defining sets by choosing appro-priate defining sets from two weakly regular plateaued balanced functions.Their weight distributions are explicitly determined by applying the properties of Walsh transform and exponential sums.These linear codes,which have a few non-zero weights,can be used in the fields such as secret sharing schemes and asso-ciation schemes.

weakly regular plateaued balanced functionsWalsh transformlinear codes

张同慧、杨淑娣

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曲阜师范大学数学科学学院,273165,山东省曲阜市

福建师范大学数学与统计学院,350100,福建省福州市

弱正则高原平衡函数 Walsh变换 线性码

国家自然科学基金曲阜师范大学研究生学位论文科研创新基金

12071247LWCXS20225

2024

曲阜师范大学学报(自然科学版)
山东曲阜师范大学

曲阜师范大学学报(自然科学版)

影响因子:0.299
ISSN:1001-5337
年,卷(期):2024.50(2)
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