6 papers
The Cross-Correlation Distribution of the Niho-Type Decimation
Maosheng Xiong, Haode Yan
The cross-correlation problem is a classical problem in sequence design. In this paper, we determine the cross-correlation distribution of the Niho-type decimation o…
Counterexamples to Charpin's Conjecture on BCH codes
Run Zheng, Yaoran Yang, Yutong Zhang +2
We construct an infinite family of -ary primitive narrow-sense BCH codes whose minimum distance strictly exceeds the Bose distance; in fact, the gap between the two can be arbit…
On covering radius of generalized Zetterberg codes
Haode Yan, Maosheng Xiong
We employ analytic number theoretic techniques, specifically character sums and Weil type estimates, to study the covering radius of the generalized Zetterberg codes over all finit…
A note on the differential spectrum of a class of locally APN functions
Haode Yan, Ketong Ren
Let $\gf_{p^n}$ denote the finite field containing elements, where is a positive integer and is a prime. The function over $\gf_{p^n…
A note on the differential spectrum of the Ness-Helleseth function
Ketong Ren, Maosheng Xiong, Haode Yan
Let be an odd integer and an element in the finite field $\gf_{3^n}$. The Ness-Helleseth function is the binomial over $\gf_{3^n}$, wher…
On correlation distribution of Niho-type decimation
Maosheng Xiong, Haode Yan
The cross-correlation problem is a classic problem in sequence design. In this paper we compute the cross-correlation distribution of the Niho-type decimation over $…