supported by National Natural Science Foundation of China (Grant No. 61170257)
For two odd integers m and s with 1≤s < m and gcd(m, s) = 1, let h satisfy h(2~s-1) ≡1(mod 2~m+ 1) and d =(h + 1)(2~m-1) + 1. The cross correlation function between a binary m-sequence of period 22~m-1 and its d-dec...
supported by National Natural Science Foundation of China(Grant Nos.11101131 and 61170257);National Basic Research Program of China(Grant No.2013CB834203);the External Science and Technology Cooperation Program of Hubei Province(Grant No.2012IHA01402)
Recently, a class of non-primitive cyclic codes with two nonzeros have received much attention of researchers and their weight distributions have been obtained for several cases of two key parameters related to the no...
supported by National Natural Science Foundation of China(Grant Nos.11171366 and 61170257)
The t-wise intersection of constant-weight codes are computed.Based on the above result,the t-wise intersection of relative two-weight codes are determined by using the finite geometric structure of relative two-weigh...
supported by National Natural Science Foundation of China(Grant Nos.61070172,10990011 and 61170257);the External Science and Technology Cooperation Program of Hubei Province(Grant No.2012IHA01402);National Key Basic Research Program of China(Grant No.2013CB834203);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA06010702)
In this paper, we propose a construction of functions with low differential uniformity based on known perfect nonlinear functions over finite fields of odd characteristic. For an odd prime power q, it is proved that t...