Some classes of quasi-twisted codes over finite chain rings
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DOI: 10.1007/s12190-017-1125-0
Abstract: Let R be an arbitrary commutative finite chain ring and $$\gamma $$γ a fixed generator of the maximal ideal of R. Suppose s is the nilpotency index of $$\gamma $$γ and F is the residue… read more here.
Keywords: finite chain; twisted codes; quasi twisted; omega gamma ... See more keywords
On the Discrete Bisymmetry
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DOI: 10.1109/tfuzz.2016.2637376
Abstract: It is known that bisymmetry generalizes the simultaneous commutativity and associativity in the framework of the unit interval. In this work, we will completely characterize two classes of bisymmetric aggregation operators: one with a neutral… read more here.
Keywords: finite chain; bisymmetry; discrete bisymmetry; aggregation operators ... See more keywords
Homogeneous Weight Distributions of Cyclic Codes Over Finite Chain Rings
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DOI: 10.1109/tit.2024.3507278
Abstract: Constantinescu et al. introduced the homogeneous weight on the integer residue ring $\mathbb {Z}_{m}$ which can reflect more information compared with the Hamming weight. Few homogeneous weight linear codes over finite chain rings have important… read more here.
Keywords: inline formula; codes finite; tex math; homogeneous weight ... See more keywords
On the Approximation of Random Variables on a Finite Chain
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DOI: 10.1134/s1990478920030163
Abstract: Abstract We consider the transformations of independent random variables over a linearly ordered finite set (a chain) by the join and meet operations. We investigate the possibility of approximating an arbitrary probability distribution on a… read more here.
Keywords: chain; variables finite; random variables; finite chain ... See more keywords
A class of linear codes of length 2 over finite chain rings
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DOI: 10.1142/s0219498820501030
Abstract: Let [Formula: see text] be a finite field of cardinality [Formula: see text], where [Formula: see text] is an odd prime, [Formula: see text] be positive integers satisfying [Formula: see text], and denote [Formula: see… read more here.
Keywords: linear codes; formula see; finite chain; see text ... See more keywords
Determinants of some special matrices over commutative finite chain rings
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DOI: 10.1515/spma-2020-0118
Abstract: Abstract Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed… read more here.
Keywords: finite chain; commutative finite; matrices commutative; circulant matrices ... See more keywords
γ-Dual Codes over Finite Commutative Chain Rings
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DOI: 10.3390/axioms13100655
Abstract: In this article, the notion of γ-dual codes over finite chain rings is introduced as an extension of dual codes over finite chain rings. Various characteristics and properties of γ-dual codes over finite chain rings… read more here.
Keywords: dual codes; chain rings; finite commutative; codes finite ... See more keywords