Construction of skew cyclic codes over \(\mathbb F_q+v\mathbb F_q\)
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Publication:476356
DOI10.3934/amc.2014.8.313zbMath1300.94121OpenAlexW2071317810WikidataQ58473440 ScholiaQ58473440MaRDI QIDQ476356
Bahattin Yildiz, Fatmanur Gursoy, Siap, Irfan
Publication date: 28 November 2014
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2014.8.313
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Cites Work
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- Skew constacyclic codes over finite chain rings
- Skew cyclic codes of arbitrary length
- Skew constacyclic codes over Galois rings
- Coding with skew polynomial rings
- Skew-cyclic codes
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- On the Construction of Skew Quasi-Cyclic Codes
- Some Results on Cyclic Codes Over ${F}_{2}+v{F}_{2}$
- SKEW CYCLIC CODES OVER Fp+ vFp
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