Results 11 to 20 of about 46 (45)

Linear Skew Cyclic Codes over 𝔽qS

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, we focus on skew cyclic codes over the family of rings 𝔽q S where q is a power of a prime number and S = 𝔽q + v𝔽q with v2 = v. Structural properties of these codes are studied in detail. Obtained results lead us to characterize 𝔽q S-linear
Yildirim Tulay
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On algebraic geometric codes and some related codes [PDF]

, 2006
Thesis (MSc (Mathematics))--University of Stellenbosch, 2006.The main topic of this thesis is the construction of the algebraic geometric codes (Goppa codes), and their decoding by the list-decoding, which allows one to correct beyond half of the ...
Guenda, Kenza
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The study of ℤpℤp[u, v]-additive cyclic codes and their application in obtaining Optimal and MDSS codes

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let S = ℤp[u, v]/〈u2, v2, uv − uv〉 be a semi-local ring, where p is a prime number. In the present article, we determine the generating sets of S and use them to construct the structures of ℤpS-additive cyclic and constacyclic codes.
Ashraf Mohammad, Asim Mohd, Mohammad Ghulam, Rehman Washiqur   +3 more
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Minimal Codewords in Linear Codes [PDF]

, 2004
2000 Mathematics Subject Classification: 94B05, 94B15.Cyclic binary codes C of block length n = 2^m − 1 and generator polynomial g(x) = m1(x)m2^s+1(x), (s, m) = 1, are considered. The cardinalities of the sets of minimal codewords of weights 10 and 11 in
Manev, Nickolai, Borissov, Yuri
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Skew cyclic codes over 𝔻4R and their applications to DNA codes construction

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The fundamental aim of this research is to analyze the configuration of 𝔽4R submodules, skew cyclic codes over 𝔽4R and establish their connection with DNA codes, where 𝔽4 is a field of order 4 and R = 𝔽4 + u𝔽4 + v𝔽4 + w𝔽4 with u2 = u, v2 = v, w2 = w, uv =
Rehman Nadeem ur, Ahmad Mohammad Fareed, Azmi Mohd   +2 more
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Two-dimensional cyclic codes over a finite chain ring

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we have determined the generators and rank of a 2D cyclic code of length mn over a finite chain ring ℛ with residue field 𝔽q, where m is arbitrary and q ≡ 1(mod n).
Garg Disha, Dutt Sucheta
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www.scielo.br/cam Computing the minimal distance of cyclic codes

, 2008
. We describe an algorithm that improves on the standard algorithm for computing the minimal distance of cyclic codes. Mathematical subject classification: 94B15.
José Felipe Voloch
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New quantum codes from homothetic-BCH codes

We introduce homothetic-BCH codes. These are a family of q2-ary classical codes C of length λn1, where λ and n1 are suitable positive integers such that the punctured code B of C in the last λn1 − n1 coordinates is a narrow-sense BCH code of length n1 ...
Martín Cruz, Elena, Galindo , Carlos, Hernando, Fernando   +2 more
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and C.Padilla. Decoding the (41,20,10) Quadratic Residue Code Beyond its ErrorCorrecting Capability

, 2011
An algebraic decoding algorithm for the expurgated quadratic residue code of length 41 is presented. The algorithm is guaranteed to produce the correct error-location polynomial whenever an error pattern of weight up to four occurs.
J Carmelo Interlando, Cynthia Padilla
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On (1 − u m )-Cyclic Codes over

, 2009
A new Gray map between codes over F 2 + uF 2 + u 2 F 2 + u 3 F 2 + .... + u m F 2 and codes over F 2 is defined. It is proved that the Gray image of a linear (1 − u m )-cyclic code over of length n is a binary distance invariant quasi-cylic code of index
Yasemin Cengellenmis, + Uf, F, +
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