Results 191 to 200 of about 66,828 (235)
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Designing DNA codes from reversible self-dual codes over
Abstract We present an explicit method for designing DNA codes from reversible self-dual codes over the finite field G F ( 4 ) of order 4. We use Euclidean reversible self-dual codes (Euclidean RSD codes for short) since they have some advantages in designing DNA codes; hence, in this work RSD codes mean Euclidean RSD codes.
Hyun Jin Kim +2 more
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Construction of reversible self-dual codes
Finite Fields and Their Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Hyun Jin +2 more
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On cyclic reversible self-dual additive codes with odd length over Z/sub 2//sup 2/
IEEE Transactions on Information Theory, 2000Several additive codes of odd length over Z/sub 2//sup 2/ are introduced. These codes are cyclic and reversible. Furthermore, they are self-dual under an appropriately selected binary-valued inner product. Some binary derivatives of these codes have good parameters.
M. Ran, J. Snyders
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Abelian Codes in Principal Ideal Group Algebras
IEEE Transactions on Information Theory, 2013We study abelian codes in principal ideal group algebras (PIGAs). We first give an algebraic characterization of abelian codes in any group algebra and provide some general results.
Somphong Jitman +3 more
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A projection decoding of a binary extremal self-dual code of length 40
Designs, Codes and Cryptography, 2016As far as we know, there is no decoding algorithm of any binary self-dual [40, 20, 8] code except for the syndrome decoding applied to the code directly. This syndrome decoding for a binary self-dual [40, 20, 8] code is not efficient in the sense that it
Jon-Lark Kim, Nari Lee
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On a 5-design related to a putative extremal doubly even self-dual code of length a multiple of 24
Des. Codes Cryptogr., 2014By the Assmus and Mattson theorem, the codewords of each nontrivial weight in an extremal doubly even self-dual code of length 24m form a self-orthogonal 5-design. In this paper, we study the codes constructed from self-orthogonal 5-designs with the same
M. Harada
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ACS Sustainable Chemistry and Engineering, 2019
Generally, self-healing research based on commercial rubber is of great significance in sustainable development by extending the lifetime of materials. However, it is still a great challenge so far to prepare recyclable rubber that combine excellent self-
Bo Cheng +4 more
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Generally, self-healing research based on commercial rubber is of great significance in sustainable development by extending the lifetime of materials. However, it is still a great challenge so far to prepare recyclable rubber that combine excellent self-
Bo Cheng +4 more
semanticscholar +1 more source
Construction of MDS Euclidean Self-Dual Codes via Multiple Subsets
arXiv.orgMDS self-dual codes have good algebraic structure, and their parameters are completely determined by the code length. In recent years, the construction of MDS Euclidean self-dual codes with new lengths has become an important issue in coding theory.
Weirong Meng +4 more
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Classification of LCD and self-dual codes over a finite non-unital local ring
arXiv.orgThis work explores LCD and self-dual codes over a noncommutative non-unital ring $ E_p= \langle r,s ~|~ pr =ps=0,~ r^2=r,~ s^2=s,~ rs=r,~ sr=s \rangle$ of order $p^2$ where $p$ is a prime.
Anup Kushwaha +2 more
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