CYCLIC CODES THROUGH $B[X;\frac{a}{b}{\mathbb Z}_{0}]$, WITH $\frac{a}{b}\in {\mathbb Q}^{+}$ AND b = a+1, AND ENCODING
2012 ◽
Vol 04
(04)
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pp. 1250059
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Let B[X; S] be a monoid ring with any fixed finite unitary commutative ring B and [Formula: see text] is the monoid S such that b = a + 1, where a is any positive integer. In this paper we constructed cyclic codes, BCH codes, alternant codes, Goppa codes, Srivastava codes through monoid ring [Formula: see text]. For a = 1, almost all the results contained in [16] stands as a very particular case of this study.
2014 ◽
Vol 10
(08)
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pp. 1921-1927
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2018 ◽
Vol 2018
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pp. 1-9
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1998 ◽
Vol 40
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pp. 223-236
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2013 ◽
Vol 13
(02)
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pp. 1350083
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2020 ◽
Vol 56
(2)
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pp. 157-165
2016 ◽
Vol 15
(5)
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pp. 6776-6784
2019 ◽
Vol 19
(06)
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pp. 2050111
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