基于一类2对1映射的序列的自相关性质

Autocorrelation property of binary sequences based on a class of 2-to-1 mappings

讨论了由有限域F22 m上的一类2对1映射构造的序列的性质.这些二元序列的周期为2m-1且具有平衡性.基于Walsh变换技巧,证明了这些序列具有理想自相关性质;而这些序列是否为新的,有待进一步研究.

The properties of binary sequences constructed by a 2-to-1 mapping were discussed,and the 2-to-1 mapping was defined over the finite field F22m.These presented sequences of period 2m-1 were balanced.Based on the techniques of Walsh transform,ideal autocorrelation properties of these sequences were also proved.The problem whether new binary ideal autocorrelation sequences could be derived from the proposed method remained open.