23 citations · 27 across the 10 of their papers we have counts for
10 papers · 1 filter
A Characterization of -Ary -Designs and a -Design Obstruction for Doubly-Extended Reed-Solomon Codes
Guanghui Zhang, Zhengbang Zha
Let be the doubly extended Reed--Solomon code with parameters , where is a prime power and . We prove a conjecture of Wu and Z…
On many-to-one property of generalized cyclotomic mappings
Yanbin Zheng, Yang Zhang, Zhengbang Zha +2
The generalized cyclotomic mappings over finite fields are those mappings which induce monomial functions on all cosets of an index subgroup of the mu…
Large class of many-to-one mappings over quadratic extension of finite fields
Yanbin Zheng, Meiying Zhang, Yanjin Ding +2
Many-to-one mappings (including -to- mappings) over finite fields play important roles in cryptography and coding theory. This paper provides a unified framework for studying…
Several new classes of optimal ternary cyclic codes with two or three zeros
Gaofei Wu, Zhuohui You, Zhengbang Zha +1
Cyclic codes are a subclass of linear codes and have wide applications in data storage systems, communication systems and consumer electronics due to their efficient encoding and d…
New results of -APN power functions over
Yan-Ping Wang, Zhengbang Zha
Partially APN functions attract researchers' particular interest recently. It plays an important role in studying APN functions. In this paper, based on the multivariate method and…
Some classes of power functions with low c-differential uniformity over finite fields
Zhengbang Zha, Lei Hu
Functions with low c-differential uniformity have optimal resistance to some types of differential cryptanalysis. In this paper, we investigate the c-differential uniformity of pow…
More new classes of permutation trinomials over
Yanping Wang, WeiGuo Zhang, Zhengbang Zha
Permutation polynomials over finite fields have wide applications in many areas of science and engineering. In this paper, we present six new classes of permutation trinomials over…
Further results on differentially 4-uniform permutations over $\F_{2^{2m}}$
Zhengbang Zha, Lei Hu, Siwei Sun +1
In this paper, we present several new constructions of differentially 4-uniform permutations over $\F_{2^{2m}}$ by modifying the values of the inverse function on some subsets of $…
On the Fourier Spectra of the Infinite Families of Quadratic APN Functions
Carl Bracken, Zhengbang Zha
It is well known that a quadratic function defined on a finite field of odd degree is almost bent (AB) if and only if it is almost perfect nonlinear (APN). For the even degree case…
Proof of a Conjecture of Helleseth Regarding Pairs of Binary m-Sequences
Zhengbang Zha, XueLi Wang
This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.