Elliptic Curve Quaternary Sequences Constructed Using the Reverse Gray Mapping  

作　　者：WU Chenhuang CHEN Zhixiong 

机构地区：[1]School of Mathematics, Putian University

出　　处：《Chinese Journal of Electronics》2014年第3期448-453,共6页电子学报（英文版）

基　　金：partially supported by the National Natural Science Foundation of China(No.61373140,No.61170246);the Special Scientific Research Program in Fujian Province Universities of China(No.JK2013044)

摘　　要：Quaternary sequences are the most important sequences in view of many practical applications. Using the reverse Gray mapping, we propose a new construction of elliptic curve quaternary sequences with strong pseudorandom properties. We apply a result of Marzouk and Winterhof on the relation between the pseudorandom measures for binary sequences and the measures for quaternary sequences to analyze the well-distribution measure and correlation measure of order l, which were introduced by Mauduit and Sarkozy, for the proposed sequences.Quaternary sequences are the most important sequences in view of many practical applications. Using the reverse Gray mapping, we propose a new construction of elliptic curve quaternary sequences with strong pseudorandom properties. We apply a result of Marzouk and Winterhof on the relation between the pseudorandom measures for binary sequences and the measures for quaternary sequences to analyze the well-distribution measure and correlation measure of order, which were introduced by Mauduit and S′arkzy, for the proposed sequences.

关 键 词：CRYPTOGRAPHY Pseudorandom quaternary sequences Elliptic curves Exponential sums Correlation. 

分 类 号：TN918.1[电子电信—通信与信息系统]