Results 1 to 10 of about 1,005,908 (254)
Minimal Linear Codes Constructed from Sunflowers. [PDF]
Entropy (Basel), 2023 Sunflower in coding theory is a class of important subspace codes and can be used to construct linear codes. In this paper, we study the minimality of linear codes over Fq constructed from sunflowers of size s in all cases.
Wu X, Lu W.
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Linear Codes from Two Weakly Regular Plateaued Balanced Functions. [PDF]
Entropy (Basel), 2023 Linear codes with a few weights have been extensively studied due to their wide applications in secret sharing schemes, strongly regular graphs, association schemes, and authentication codes.
Yang S, Zhang T, Li P.
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New classes of few-weight ternary codes from simplicial complexes
AIMS Mathematics, 2022 In this article, we describe two classes of few-weight ternary codes, compute their minimum weight and weight distribution from mathematical objects called simplicial complexes.
Yang Pan , Yan Liu
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SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES [PDF]
Journal of Algebraic Systems, 2020 Let $mathbb{Z}_p$ be the finite field of integers modulo $p$, where $p>3$ is a prime integer. This paper presents new constructions of linear codes over $mathbb{Z}_p$.
A. Rafieepour, M. Mazrooei
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Random linear codes in steganography [PDF]
Biuletyn Wojskowej Akademii Technicznej, 2016 Syndrome coding using linear codes is a technique that allows improvement in the steganographic algorithms parameters. The use of random linear codes gives a great flexibility in choosing the parameters of the linear code.
Kamil Kaczyński
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A Unique Representation of Cyclic Codes over GR(pn,r)
Axioms, 2022 Let R be a Galois ring, GR(pn,r), of characteristic pn and of order pnr. In this article, we study cyclic codes of arbitrary length, N, over R. We use discrete Fourier transform (DFT) to determine a unique representation of cyclic codes of length, N, in ...
Sami Alabiad, Yousef Alkhamees
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More Constructions of 3-Weight Linear Codes
Journal of Mathematics, 2021 Linear codes with few weights have become an interesting research topic and important applications of cryptography and coding theory. In this paper, we apply some ternary near-bent and 2-plateaued functions or r-ary functions to construct more 3-weight ...
Lingyong Ma, Guanjun Li, Fengyan Liu
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Some Results on Self-Complementary Linear Codes
Mathematics, 2023 Binary codes have a special place in coding theory since they are one of the most commonly used in practice. There are classes of codes specific only to the binary case. One such class is self-complementary codes.
Maria Pashinska-Gadzheva +2 more
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New binary and ternary LCD codes [PDF]
, 2017 LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3 ...
Galindo, Carlos +3 more
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QPSK Block-Modulation Codes for Unequal Error Protection [PDF]
, 1995 Unequal error protection (UEP) codes find applications in broadcast channels, as well as in other digital communication systems, where messages have different degrees of importance.
Lin, Shu, Morelos-Zaragoza, Robert H
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