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ONE GENERATOR QUASI-CYCLIC CODES OVER F2 + vF2
Mehmet Ozen,N. Tugba Ozzaim,NUH AYDIN 한국전산응용수학회 2018 Journal of applied mathematics & informatics Vol.36 No.5
In this paper, we investigate quasi-cyclic codes over the ring R = F2 + vF2, where v2 = v: We investigate the structure of generators for one-generator quasi-cyclic codes over R and their minimal spanning sets. Moreover, we nd the rank and a lower bound on minimum distances of free quasi-cyclic codes over R. Further, we nd a relationship between cyclic codes over a dierent ring and quasi-cyclic codes of index 2 over R.
ONE GENERATOR QUASI-CYCLIC CODES OVER 𝔽<sub>2</sub> + v𝔽<sub>2</sub>
OZEN, MEHMET,OZZAIM, N. TUGBA,AYDIN, NUH The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.5
In this paper, we investigate quasi-cyclic codes over the ring $R={\mathbb{F}}_2+v{\mathbb{F}}_2$, where $v^2=v$. We investigate the structure of generators for one-generator quasi-cyclic codes over R and their minimal spanning sets. Moreover, we find the rank and a lower bound on minimum distances of free quasi-cyclic codes over R. Further, we find a relationship between cyclic codes over a different ring and quasi-cyclic codes of index 2 over R.