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Proceedings ITCC 2003. International Conference on Information Technology: Coding and Computing

DOI: 10.1109/itcc.2003.1197528

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On Quaternary MacDonald Codes

Journal article published in 2003 by Charles J. Colbourn, Manish K. Gupta ORCID
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This paper is available in a repository.

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Abstract

This paper studies two families of codes over Z 4 , MacDonald codes of type # and type #. The torsion code, weight distribution, and Gray image properties are studied. Some interesting optimal binary codes are also obtained. Two nonlinear families of binary codes are obtained via the Gray map. Keywords: Codes over rings, Gray image, simplex codes, torsion code, weight distribution, MacDonald codes, projective multiset. 1