Published May 28, 2009
| Version public
Journal Article
A Combinatorial construction of the Gray map over Galois rings
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, 3^(12), 15) code, IEEE Trans. Inform. Theory 45 (1999) 2522–2524; S. Ling, J.T. Blackford, Z_(pk+1)-linear codes, IEEE Trans. Inform. Theory 48 (2002) 2592–2605].
Additional Information
© 2008 Elsevier B.V. Received 5 July 2007. Received in revised form 2 May 2008. Accepted 2 September 2008. Available online 27 September 2008. This paper is dedicated to my advisor Prof Richard M. Wilson. The work presented here was part of the author's thesis at Caltech under the supervision of Prof Richard Wilson and the author wishes to thank Prof Wilson for his contributions and guidance.Additional details
Identifiers
- Eprint ID
- 15681
- DOI
- 10.1016/j.disc.2008.09.002
- Resolver ID
- CaltechAUTHORS:20090909-075300752
Related works
- Describes
- 10.1016/j.disc.2008.09.002 (DOI)
Dates
- Created
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2009-09-23Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field