Results 11 to 20 of about 2,113,636 (278)
Linear Codes Arise From New Complete (n,r)-arcs in PG(2,29) [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 This paper presents the recently-discovered linear [n,3,d] codes over PG(2,29) that arises from a complete (n,r)-arcs which the paper[12] presented it for the first time.
Shuaa Aziz
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On Some Families of Codes Related to the Even Linear Codes Meeting the Grey–Rankin Bound
Mathematics, 2022 Bounds for the parameters of codes are very important in coding theory. The Grey–Rankin bound refers to the cardinality of a self-complementary binary code. Codes meeting this bound are associated with families of two-weight codes and other combinatorial
Iliya Bouyukliev +2 more
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On the generalized Hamming weights of certain Reed–Muller-type codes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 There is a nice combinatorial formula of P. Beelen and M. Datta for the r-th generalized Hamming weight of an a ne cartesian code. Using this combinatorial formula we give an easy to evaluate formula to compute the r-th generalized Hamming weight for a ...
González-Sarabia Manuel +2 more
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LINEAR CODE THROUGH POLYNOMIAL MODULO Z [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 A polynomial p(x)= a + a x + …+ a x is said to be a permutation polynomial over a finite ring R If P permute the elements of R . where R is the ring ( Z , + , ) .
MAKARIM ABDULWAHIDE
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Multi-Receiver Authentication Scheme for General Access Structure
IEEE Access, 2020 Authentication is an important primitive of cryptography. With the rapid progress of network communication, the urgent data needs to ensure it integrity and privacy, therefore, the authentication of multi-receiver has a significant impact on the ...
Qiuxia Xu, Chunming Tang, Jingtong Wang
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A note on full weight spectrum codes [PDF]
Transactions on Combinatorics, 2019 A linear $ [n,k]_q $ code $ C $ is said to be a full weight spectrum (FWS) code if there exist codewords of each weight less than or equal to $ n $. In this brief communication we determine necessary and sufficient conditions for the existence of linear $
Tim Alderson
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IEEE Access, 2020 Let F2(m) be a finite field of 2m elements, λ and k be integers satisfying λ, k ≥ 2 and denote R = F2(m)[u]/(u2λ). Let δ, α ∈ F2(m)×.
Yuan Cao +4 more
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Decoding Linear Codes over Chain Rings Given by Parity Check Matrices
Mathematics, 2021 We design a decoding algorithm for linear codes over finite chain rings given by their parity check matrices. It is assumed that decoding algorithms over the residue field are known at each degree of the adic decomposition.
José Gómez-Torrecillas +2 more
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Constacyclic Codes over Finite Chain Rings of Characteristic p
Axioms, 2021 Let R be a finite commutative chain ring of characteristic p with invariants p,r, and k. In this paper, we study λ-constacyclic codes of an arbitrary length N over R, where λ is a unit of R.
Sami Alabiad, Yousef Alkhamees
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Minimal Linear Codes Constructed from Sunflowers
Entropy, 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.
Xia Wu, Wei Lu
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