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Restivo, A.; Salemi, S.; Sportelli, T.

Completing codes. (English) Zbl 0669.94012

RAIRO, Inf. Théor. Appl. 23, No. 2, 135-147 (1989).
Summary: The problem to characterize those finite codes that can be embedded in a finite maximal code is investigated. The main results, which give some necessary conditions for the embedding, are obtained by using factorizations of cyclic groups.

Cited in 4 Reviews
Cited in 24 Documents

MSC:

94B05 Linear codes (general theory)
94B15 Cyclic codes
20K01 Finite abelian groups

Keywords:

finite maximal code; factorizations of cyclic groups
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\textit{A. Restivo} et al., RAIRO, Inform. Théor. Appl. 23, No. 2, 135--147 (1989; Zbl 0669.94012)
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References:

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[8] 8. D. PERRIN and M. P. SCHUTZENBERGER, Un problème élémentaire de la théorie de l’information, Coll. Internat, du C.N.R.S., n^\circ 276, Théorie de l’Information, 1977. Zbl0483.94028 · Zbl 0483.94028
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.