Haode Yan

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20232026

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cs.IT2026

The Cross-Correlation Distribution of the Niho-Type Decimation $d = 4 (2^{m} - 1) + 1$

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 $d = 4 (2^{m} - 1) + 1$ o…

cs.IT2026

Counterexamples to Charpin's Conjecture on BCH codes

Run Zheng, Yaoran Yang, Yutong Zhang +2

We construct an infinite family of $q$ -ary primitive narrow-sense BCH codes whose minimum distance strictly exceeds the Bose distance; in fact, the gap between the two can be arbit…

cs.IT2025

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 $p^{n}$ elements, where $n$ is a positive integer and $p$ is a prime. The function $f_{u} (x) = x^{\frac{p ^{n} + 3}{2}} + u x^{2}$ over $\gf_{p^n…

cs.IT2023

On correlation distribution of Niho-type decimation $d = 3 (p^{m} - 1) + 1$

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 $d = 3 (p^{m} - 1) + 1$ over $…

The Cross-Correlation Distribution of the Niho-Type Decimation d=4(2m−1)+1

Counterexamples to Charpin's Conjecture on BCH codes

A note on the differential spectrum of a class of locally APN functions

On correlation distribution of Niho-type decimation d=3(pm−1)+1

The Cross-Correlation Distribution of the Niho-Type Decimation $d = 4 (2^{m} - 1) + 1$

On correlation distribution of Niho-type decimation $d = 3 (p^{m} - 1) + 1$