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20122026
most citedParallel multilevel constructions for constant dimension codes

2 citations · 4 across the 8 of their papers we have counts for

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17 papers · 1 filter

math.CO2026

Kneserized Anticoncentration and Reverse Absorption for Graham's Rearrangement Conjecture

Simone Costa, Stefano Della Fiore, Tao Feng +1

We establish a Kneser-based anticoncentration estimate for uniform subset sums in composite cyclic groups. The estimate contains a periodic loss and is weaker than its prime-modulu…

math.CO2023

Cyclic relative difference families with block size four and their applications

Chenya Zhao, Binwei Zhao, Yanxun Chang +3

Given a subgroup of a group , a difference family (DF) is a set of -subsets of such that $\{f-f':f,f'\in F, f\neq f',F\in \mathcal F\}=G\…

math.CO2022

The existence of cyclic (v,4,1)-designs

Menglong Zhang, Tao Feng, Xiaomiao Wang

Even though Peltesohn proved that a cyclic (v,3,1)-design exists if and only if as early as 1939, the problem of determining the spectrum of cyclic (v,k,1)-de…

math.CO2020

Novák's conjecture on cyclic Steiner triple systems and its generalization

Tao Feng, Daniel Horsley, Xiaomiao Wang

Novák conjectured in 1974 that for any cyclic Steiner triple systems of order with , it is always possible to choose one block from each block orbit so that…

math.CO2019★ 2 cited

Parallel multilevel constructions for constant dimension codes

Shuangqing Liu, Yanxun Chang, Tao Feng

Constant dimension codes (CDCs), as special subspace codes, have received a lot of attention due to their application in random network coding. This paper introduces a family of ne…

math.CO2019

Partitionable sets, almost partitionable sets and their applications

Yanxun Chang, Simone Costa, Tao Feng +1

This paper introduces almost partitionable sets to generalize the known concept of partitionable sets. These notions provide a unified frame to construct -cyclic patter…