发表机构
Madras School of Economics(马德拉斯经济学院)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文证明了Braun-Etzion-Vardy猜想:射影空间中线性子空间码至多有2^n个码字,通过自包含的特征理论论证解决。主要贡献是给出该猜想的完整证明。
AI 中文摘要
Braun、Etzion和Vardy(2013)引入了射影空间中线性子空间码的概念,并猜想射影空间中的线性子空间码至多有2^n个码字。我们解决了这一猜想。我们使用一种新颖的特征理论论证来证明该猜想,且证明是自包含的。
英文摘要
The notion of a linear subspace code in a projective space was introduced by Braun, Etzion and Vardy (2013), who conjectured that a linear subspace code in the projective space has at most 2^n codewords. We resolve this conjecture. A novel character-theoretic argument is used to prove the conjecture and the proof is self-contained.
Comments12 pages