密码学报2018，Vol.5Issue(1)：43-54,12.DOI:10.13868/j.cnki.jcr.000217
弱半bent正交序列集的构造
Constructions of Weakly Semi-bent Orthogonal Sequences Sets
摘要
Abstract
Spread-spectrum technique has been widely applied both in military and in civilian com-munications. The design of the codewords in the spread-spectrum communication systems is one of the most concerned topics in sequence design. The correlation value of the spread-spectrum sequences determines the ability of the anti-interference of the system. Thus the sequences should have desir-able cross-correlation properties. In order to meet the communication demand for increasingly dense population, the sequences also need to ensure a sufficient number of users in each cell. In this paper, the definition of weakly semi-bent Boolean functions and weakly semi-bent sequences are presented.A class of weakly semi-bent orthogonal sequences has been constructed by using Maiorana-McFarland cryptographic Boolean function construction technique. Weakly semi-bent orthogonal sequences can be assigned to regular tessellation of hexagonal cells, the number of users per cell is larger than that by the currently best known method. Two optimization schemes of the weakly semi-bent sequence sets are designed. The first optimization scheme is to increase the number of individual cellular users as the main target, and in some cases it is twice as large as the current optimal result. In the second optimization scheme, the semi-bent orthogonal sequences sets are constructed based on the weakly semi-bent orthogonal sequences sets,making the interference between non-adjacent cells smaller than weakly semi-bent orthogonal sequences sets without reducing the number of users in each cell. Weakly semi-bent orthogonal sequences can be assigned to regular tessellation of hexagonal cells,which is typ-ical for certain code division multiple access (CDMA) systems, it can achieve a compromise between the number of users and the anti-interference performance.关键词
弱半bent函数/正交序列集/码分多址/哈达玛矩阵Key words
Boolean functions/code division multiple access(CDMA)/orthogonal sequences/weakly semi-bent sequences分类
信息技术与安全科学引用本文复制引用
夏婷婷,孙玉娟,解春雷..弱半bent正交序列集的构造[J].密码学报,2018,5(1):43-54,12.基金项目
国家自然科学基金 (61672414) （61672414）
国家密码发展基金 (MMJJ20170113) National Natural Science Foundation of China(61672414) （MMJJ20170113）
National Cryptography Development Fund (MMJJ20170113) （MMJJ20170113）
