| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4649853 | Discrete Mathematics | 2009 | 5 Pages |
Abstract
In this correspondence, we will introduce a new combinatorial method for a coordinate-wise construction of the homogeneous-weight preserving Gray map for Galois rings by using elementary tools from Affine Geometries. Our construction differs in the methods used from the algebraic constructions done previously in [M. Greferath, S.E. Schmidt, Gray Isometries for finite chain rings and a nonlinear ternary (36, 312, 15) code, IEEE Trans. Inform. Theory 45 (1999) 2522–2524; S. Ling, J.T. Blackford, Zpk+1Zpk+1-linear codes, IEEE Trans. Inform. Theory 48 (2002) 2592–2605].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Bahattin Yildiz,