摘要
In this paper, we make some progress towards a well-known conjecture on the minimum weights of binary cyclic codes with two primitive nonzeros. We also determine the Walsh spectrum of Tr(x d ) over F2m in the case where m = 2t, d = 3 + 2t+1 and gcd(d, 2m-1) = 1.
In this paper, we make some progress towards a well-known conjecture on the minimum weights of binary cyclic codes with two primitive nonzeros. We also determine the Walsh spectrum of Tr（x^d） over F2m in the case where m = 2t, d = 3 ＋ 2^（t＋1） and gcd（d, 2m - 1） = 1.
基金
supported in part by Fundamental Research Fund for the Central Universities of China
Zhejiang Provincial Natural Science Foundation(Grant No.LQ12A01019)
National Natural Science Foundation of China(Grant No.11201418)
Research Fund for Doctoral Programs from the Ministry of Education of China(Grant No.20120101120089)
supported in part by AcRF grant(Grant No.R-146-000-158-112)
