具有最优特性的一次碰撞跳频序列集的新构造  

New Designs of One-coincidence Frequency Hopping Sequence Set with Optimal Properties

作　　者：谢春 陈平 王常远 彭代渊 XIE Chun;CHEN Ping;WANG Changyuan;PENG Daiyuan(School of Computer Engineering, Chengdu Technological University, Chengdu 611730, China;Construction Project Safety Service Station, Cuiping District, Yibin 644000, China;School of Computer and Information Engineering, Yibin University, Yibin 644007, China)

机构地区：[1]成都工业学院计算机工程学院,网络空间安全研究所,四川成都611730 [2]四川省宜宾市翠屏区建设工程安全服务站,四川宜宾644000 [3]宜宾学院计算机与信息工程学院,四川宜宾644007

出　　处：《郑州大学学报（理学版）》2020年第3期80-86,共7页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(61571373);四川省教育厅自然科学基金项目(18ZB0015)。

摘　　要：利用有限域上的多项式理论,构造一类长度为素数的一次碰撞跳频序列集,该类序列集具有最优最大汉明相关特性、最优周期部分汉明相关特性、最优平均周期汉明相关特性等优异性质,且针对特定汉明相关特性,序列集序列个数达到最优。Frequency-hopping(FH)communication was widely used in military communication and civil communication because of its secure,anti-jamming and anti-fading properties.The Hamming correlation properties of FH sequences(FHS)had great influence on the communication performance of FH communication,and the designs of FHSs were one of the key technologies to realize FH communication system.Based on the theory of polynomials over the finite field,one-coincidence(OC)FHS set of primary length was constructed,for the maximum Hamming correlation property,the periodic partial Hamming correlation property and the average periodic Hamming correlation property.It could get that the constructed OC FHS set was optimal,and with certain Hamming correlation property,the size of FHS set was also optimal.

关 键 词：汉明相关 多项式 一次碰撞 非周期汉明相关 

分 类 号：TN914[电子电信—通信与信息系统]