TITLE:
Non-Full Rank Factorization of Finite Abelian Groups
AUTHORS:
Khalid Amin
KEYWORDS:
Factorization of Abelian Groups, Error-Correcting Codes
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.7 No.2,
April
17,
2017
ABSTRACT: Tilings of p-groups are closely associated with error-correcting codes. In [1], M. Dinitz, attempting to generalize full-rank tilings of Zn2to arbitrary finite abelian groups, was able to show that if p ≥5, thenZnp 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.