Q-codes
type: Item
instance of: scholarly article
title: Q-codes
zbMATH Open document ID: 0679.94014
DOI: 10.1016/0097-3165(86)90066-X
author: V. Pless
published in: Journal of Combinatorial Theory. Series A
publication date: 1986-01-01T00:00:00Z
review text: A new family of cyclic codes over GF(4), the so-called Q-codes, are introduced. They are defined analogously to binary, dyadic codes in terms of their idempotents. All self-dual and strictly self-dual extended cyclic codes are extended Q-codes. Especially the Quadratic Residue codes are contained in the definition of Q-codes. Properties of Q-codes, e.g. the minimum weight vectors and a square root bound, are investigated. These results are used to obtain partially a new proof for the non- existence of cyclic projective planes of certain even orders n. Finally a table of Q-codes of all prime lengths until 41 and composite lengths until 25 is given.
Mathematics Subject Classification ID: 94B15
zbMATH DE Number: 4114552
zbMATH Keywords: cyclic codes
zbMATH Keywords: Q-codes
zbMATH Keywords: Quadratic Residue codes
zbMATH Keywords: minimum weight vectors
zbMATH Keywords: square root bound
zbMATH Keywords: cyclic projective planes
describes a project that uses: CAMAC
MaRDI profile type: Publication
cites work: New 5-designs
cites work: Q3870312
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cites work: Q5334400
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description: scientific article; zbMATH DE number 4114552