논문KCI 등재
Cyclic Codes of Even Length over $\mathbb Z_4$
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Abstract
In cite{8}, we showed that any ideal of mathbbZ_4[X]/(X^{2^n}-1) is generated by at most two polynomials of thestandard forms. The purpose of this paper is to find a descriptionof the cyclic codes of even length over mathbb Z_4 namely theideals of mathbb Z_4[X]/(X^l-1), where l is an even integer.
참고문헌 (7)
- "On the generatorsof mathbb Z_4 cyclic codes of length 2^e", 49(9), pp.2126~2133 (2003)
- "Cyclic codes over mathbb Z_4 ofoddly even length", 128(1), pp.27~46 (2003)
- "On modularcyclic codes" (2006)
- "Cycliccodes over integer modulo p^n", 3(4), pp.334~352 (1997)
- "Cyclic codes of length 2^n overmathbb Z_4" (2005)
- "Algebras with a nilpotentgenerator over mathbb Z_{p^2}", 43(3), pp.487~497 (2006)
- "Cyclic codes of length pm overmathbb Z_{p^n }" (2006)
관련 논문AI추천
CYCLIC CODES OF LENGTH 2n OVER Z4우성식대한수학회 · 대한수학회논문집2013 · 제28권 제1호Free cyclic codes over finite local rings우성식대한수학회 · 대한수학회보2006 · 제43권 제4호Optimal Linear Codes over $\mathbb{Z}_m$박영호, John N. C. Wong, Steven T. Dougherty, T. Aaron Gulliver대한수학회 · 대한수학회지2007 · 제44권 제5호Cyclic codes over some special ringsCristina Flaut대한수학회 · 대한수학회보2013 · 제50권 제5호CYCLIC CODES OF LENGTH ps OVER Fpm[u] ⟨ue⟩Karim Samei, Masoumeh Mohebbei, Rashid Rezaei, Roghayeh Mohammadi Hesari대한수학회 · 대한수학회논문집2024 · 제39권 제1호Ideals of Z_(p^n)[X]/((X^l)-1)우성식대한수학회 · 대한수학회논문집2011 · 제26권 제3호
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