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VACmap: an accurate long-read aligner for unraveling complex genomic rearrangements. [PDF]

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Ding H   +8 more
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On Category of Linear Codes

New Mathematics and Natural Computation, 2021
Recently, a number of researches studied relationship between codes and BCK-algebras, dealing with the category codes in a BCK-algebra have not been considered in earlier works. This paper investigates a code constructed by a BCK-algebra and also a BCK-algebra constructed based on code. The suggested rendered algorithm constructs the code based on BCK-
Nazanin Keshavarzian   +2 more
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A construction of codes with linearity from two linear codes

Cryptography and Communications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chengju Li, Sunghan Bae, Haode Yan
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On the maximality of linear codes

Designs, Codes and Cryptography, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. L. Alderson, András Gács
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On the equivalence of linear codes

Applicable Algebra in Engineering, Communication and Computing, 2011
The authors consider the problem of equivalence of linear codes, i.e., when they differ by a linear isometry of the Hamming space. In that case, the linear isometry is exactly a monomial transformation. Certain equivalent conditions are derived for this notion of equivalence, based upon properties of the relative codes obtained from the relative ...
Zihui Liu, Zhimin Sun
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Linear network coding

IEEE Transactions on Information Theory, 2003
Summary: Consider a communication network in which certain source nodes multicast information to other nodes on the network in the multihop fashion where every node can pass on any of its received data to others. We are interested in how fast each node can receive the complete information, or equivalently, what the information rate arriving at each ...
Shuo-Yen Robert Li   +2 more
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On linearizing parallel code

Proceedings of the 12th ACM SIGACT-SIGPLAN symposium on Principles of programming languages - POPL '85, 1985
We consider the problem of generating sequential code for programs written in a language which contains a Multiple GOTO operator, predicates and statements. This problem arises when compiling a parallel intermediate form (such as the PDG [3,4]) to run on a sequential machine; in a source-to-source FORTRAN translator when vectorization of a loop has ...
Jeanne Ferrante, Mary E. Mace
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On Spectra of Linear Codes

Problems of Information Transmission, 2017
One of the most famous equalities in coding theory is the McWilliams equality giving a relation between the spectrum \(\{a_0,\ldots,a_n\}\) of a vector space \(V\) and \(\{b_0,\ldots,b_n\}\) of its orthogonal subspace \(V^\ast.\) In this work, V. K. Leont'ev presents a MacWilliams-type equality by analyzing the behavior of the sequence \(\left\{a_s ...
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