Results 21 to 30 of about 24,233 (175)
Duality of Codes Over Non-Unital Rings of Order Four
IEEE Access, 2023 In this paper, we present a basic theory of the duality of linear codes over three of the non-unital rings of order four; namely $I$ , $E$ , and $H$ as denoted in (Fine, 1993).
Adel Alahmadi +2 more
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Some bounds on binary LCD codes [PDF]
Cryptography and Communications, 2017 9 pages, 2 ...
Galvez, Lucky +4 more
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IEEE Access, 2020 Let p be an odd prime, q = pm, R = Fq + uFq with u2 = 1, and S = Fq + uFq + vFq + uvFq with u2 = 1, v2 = 1, uv = vu. In this paper, FqRS-cyclic codes over FqRS are studied.
Hai Q. Dinh +4 more
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On the Construction of Quantum and LCD Codes from Cyclic Codes over the Finite Commutative Rings
Axioms, 2023 Let Fq be a field of order q, where q is a power of an odd prime p, and α and β are two non-zero elements of Fq. The primary goal of this article is to study the structural properties of cyclic codes over a finite ring R=Fq[u1,u2]/⟨u12−α2,u22−β2,u1u2 ...
Shakir Ali +5 more
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IEEE Transactions on Information Theory, 2019 Linear complementary pairs (LCP) of codes play an important role in armoring implementations against side-channel attacks and fault injection attacks. One of the most common ways to construct LCP of codes is to use Euclidean linear complementary dual (LCD) codes.
Claude Carlet +3 more
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A Multisecret-Sharing Scheme Based on LCD Codes
Mathematics, 2020 Secret sharing is one of the most important cryptographic protocols. Secret sharing schemes (SSS) have been created to that end. This protocol requires a dealer and several participants.
Adel Alahmadi +5 more
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Explicit MDS Codes with Complementary Duals [PDF]
, 2017 In 1964, Massey introduced a class of codes with complementary duals which are called Linear Complimentary Dual (LCD for short) codes. He showed that LCD codes have applications in communication system, side-channel attack (SCA) and so on. LCD codes have
Beelen, Peter, Jin, Lingfei
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On the Construction of LCD Codes over F5
ITM Web of Conferences, 2017 Recently, linear codes with complementary dual (LCD codes) are employed in direct-sum-masking technique for prevention of side channel attacks, which is another application on LCD codes out of data storage, communication system and consumer electronics ...
Song Qian +3 more
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LCD Cyclic Codes Over Finite Fields [PDF]
IEEE Transactions on Information Theory, 2017 In addition to their applications in data storage, communications systems, and consumer electronics, LCD codes -- a class of linear codes -- have been employed in cryptography recently. LCD cyclic codes were referred to as reversible cyclic codes in the literature.
Chengju Li, Cunsheng Ding, Shuxing Li
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LCD MDS Codes From Cyclic Codes
Procedia Computer Science, 2019 Abstract Linear codes with complementary-duals (LCD) have many applications in cryptography, communication systems and data storage. A q-ary linear code C is called LCD if C∩C⊥ = {0} holds. Using method of coset theory, we deduce a characterization of LCD cyclic code by its defining set. Then two families of q-ary MDS cyclic LCD codes with lengthes n|
Qiang Fu, Rui Hu Li, Luo Bin Guo
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