Non-Full Rank Factorization of Finite Abelian Groups

• 作者: Khalid Amin
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: FACTORIZATION of ABELIAN GROUPS Error-Correcting CODES
• 年，卷（期）: 2017,（2）
• 页码范围: 51-53
• 页数: 3页
• 分类号: O1

摘要

Tilings of p-groups are closely associated with error-correcting codes. In [1], M. Dinitz, attempting to generalize full-rank tilings of ?Zn2??to arbitrary finite abelian groups, was able to show that if p ≥5, then?Znp? admits full-rank tiling and left the case p=3, as an open question. The result proved in this paper the settles of the question for the case p=3.