Gennian Ge

activity

20232026

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math.CO2025

The Hilton-Milner type results of $(k, ℓ)$ -sum-free sets in $F_{p}^{n}$

Xin Wei, Xiande Zhang, Gennian Ge

For a prime $p \equiv 2 (mod 3)$ , it is well known that the largest sum-free subsets of $F_{p}^{n}$ have size $\frac{p + 1}{3} p^{n - 1}$ , and the extremal sets must be a cuboid o…

cs.IT2025

Optimal redundancy of function-correcting codes

Gennian Ge, Zixiang Xu, Xiande Zhang +1

Function-correcting codes, introduced by Lenz, Bitar, Wachter-Zeh, and Yaakobi, protect specific function values of a message rather than the entire message. A central challenge is…

The Hilton-Milner type results of (k,ℓ)-sum-free sets in Fpn​

Optimal redundancy of function-correcting codes

The Hilton-Milner type results of $(k, ℓ)$ -sum-free sets in $F_{p}^{n}$