几类新的广义零差分平衡函数

doi:10.3969/j.issn.0253-2778.2015.12.007

中国科学技术大学学报 ›› 2015, Vol. 45 ›› Issue (12): 1003-1014.DOI: 10.3969/j.issn.0253-2778.2015.12.007

几类新的广义零差分平衡函数

蒋林，廖群英

四川师范大学数学与软件科学学院, 四川成都 610066

收稿日期:2015-05-13 修回日期:2015-12-09 接受日期:2015-12-09 出版日期:2023-03-27 发布日期:2015-12-09
通讯作者: 廖群英
作者简介:蒋林，女，1989年生，硕士生. 研究方向：编码和密码学理论. E-mail: 1354200486@qq.com
基金资助:
国家自然科学基金(11401408),四川省教育厅科研重点项目(14ZA0034)资助.

Several new classes of generalized zero-difference balanced functions

JIANG Lin, LIAO Qunying

College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, China

Received:2015-05-13 Revised:2015-12-09 Accepted:2015-12-09 Online:2023-03-27 Published:2015-12-09

摘要/Abstract

摘要： 零差分平衡(ZDB)函数的概念是丁存生在构造最佳常组合码与最佳完备差分系统中引入的, 基于这类函数人们构造出了最佳组成权重码和最优跳频序列. 这里将零差分平衡函数的定义推广到一般的广义零差分平衡函数(G-ZDB), 并利用p分圆陪集构造了几类新的广义零差分平衡函数, 由此也可构造出新的常组合码和差分系统.

关键词: 零差分平衡函数, 广义零差分平衡函数, p分圆陪集

Abstract: Zero-difference balanced(ZDB) functions were introduced by Ding in connection with construction of optimal constant composition codes and optimal and perfect difference systems of sets. Based on such functions, people have been constructed optimal constant weight codes and optimal frequency hopping sequences. Here the zero-difference balanced function was generalized to the generalized zero-difference balanced (G-ZDB) function, and based on properties of p-cyclotomic cosets, several new classes of generalized zero-difference balanced functions were constructed.

Key words: zero-difference balanced functions, generalized zero-difference balanced functions, p-cyclotomic cosets

中图分类号:

O156.

蒋林, 廖群英. 几类新的广义零差分平衡函数[J]. 中国科学技术大学学报, 2015, 45(12): 1003-1014.

JIANG Lin, LIAO Qunying. Several new classes of generalized zero-difference balanced functions[J]. Journal of University of Science and Technology of China, 2015, 45(12): 1003-1014.

几类新的广义零差分平衡函数

Several new classes of generalized zero-difference balanced functions

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