{\mathbb {Z}}_{2}{\mathbb {Z}}_{4}{\mathbb {Z}}_{8}$$ Z 2 Z 4 Z 8 -Cyclic codes

{\mathbb {Z}}_{2}{\mathbb {Z}}_{4}{\mathbb {Z}}_{8}$$ Z 2 Z 4 Z 8 -Cyclic codes

In this paper we study Z2Z4Z8-additive codes, which are extensions of recently introduced Z2Z4-additive codes. We determine the standard forms of the generator and parity-check matrices of Z2Z4Z8-additive codes. Moreover, we investigate Z2Z4Z8-cyclic codes and give their generator polynomials and sp...

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Veröffentlicht in:Journal of applied mathematics & computing 2019-06, Vol.60 (1-2), p.327-341
Hauptverfasser: Aydogdu, Ismail, Gursoy, Fatmanur
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Binary system
Codes
Mathematical analysis
Polynomials
Quantum theory
Vector spaces
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Zusammenfassung:In this paper we study Z2Z4Z8-additive codes, which are extensions of recently introduced Z2Z4-additive codes. We determine the standard forms of the generator and parity-check matrices of Z2Z4Z8-additive codes. Moreover, we investigate Z2Z4Z8-cyclic codes and give their generator polynomials and spanning sets. We also give some illustrative examples of both Z2Z4Z8-additive codes and Z2Z4Z8-cyclic codes.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-018-01216-z