A New Class of p-Ary Sequence Families with Low Correlation Property via m-Sequence  

作　　者：REN Wenli FU Fangwei 

机构地区：[1]College of Mathematical Sciences,Dezhou University [2]Chern Institute of Mathematics,Nankai University

出　　处：《Chinese Journal of Electronics》2016年第4期678-685,共8页电子学报（英文版）

基　　金：supported in part by the National Key Basic Research Program of China(No.2013CB834204);the National Natural Science Foundation of China(No.61171082);A Project of Shandong Province Higher Educational Science and Technology Program(No.J14LI56)

摘　　要：For an odd prime p which is congruent to 3 module 4 and an odd integer k,we investigate the upper bound on the magnitude of cross correlation values of a p-ary m-sequence s(t) and its decimated sequences s(dt + l) for a decimation value d.Using the above upper bound of the magnitude of cross correlation values of pary m-sequence and its decimated sequences,we construct a new class of p-ary sequence families with low correlation property via m-sequence.For an odd prime p which is congruent to 3 module 4 and an odd integer k,we investigate the upper bound on the magnitude of cross correlation values of a p-ary m-sequence s（t） and its decimated sequences s（dt ＋ l） for a decimation value d.Using the above upper bound of the magnitude of cross correlation values of pary m-sequence and its decimated sequences,we construct a new class of p-ary sequence families with low correlation property via m-sequence.

关 键 词：Cross correlation Decimated sequence m-sequence Quadratic form 

分 类 号：O156[理学—数学]