Results 1 to 10 of about 24,402 (186)
Optimal Quaternary Hermitian LCD Codes [PDF]
EntropyLinear complementary dual (LCD) codes, which are a class of linear codes introduced by Massey, have been extensively studied in the literature recently.
Liangdong Lu, Ruihu Li, Yuezhen Ren
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Symplectic QSD, LCD, and ACD Codes over a Non-Commutative Non-Unitary Ring of Order Nine [PDF]
EntropyWe introduce quasi self-dual (QSD), linear complementary dual (LCD), and additive complementary dual (ACD) codes for the symplectic inner product over a non-commutative non-unitary ring of order 9. We establish connections with symplectic–self-orthogonal
Sarra Manseri +3 more
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Skew Constacyclic Codes over a Non-Chain Ring [PDF]
Entropy, 2023 In this paper, we investigate the algebraic structure of the non-local ring Rq=Fq[v]/⟨v2+1⟩ and identify the automorphisms of this ring to study the algebraic structure of the skew constacyclic codes and their duals over this ring. Furthermore, we give a
Mehmet Emin Köroğlu, Mustafa Sarı
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Connections between Linear Complementary Dual Codes, Permanents and Geometry
Mathematics, 2023 Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures.
Adel N. Alahmadi +5 more
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Some codes and designs invariant under the groups $S_7$ and $S_8$ [PDF]
Journal of Mahani Mathematical Research, 2023 We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they ...
Reza Kahkeshani
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IEEE Access, 2023 In this paper, we investigate self-dual double circulant, and self-dual and linear complementary dual (LCD) double negacirculant codes over a finite ring $R = \mathbb F_{q} + u \mathbb F_{q} + v \mathbb F_{q} + uv\mathbb F_{q}$ , where $u^{2}=u$ , $v^{
Hai Q. Dinh +4 more
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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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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 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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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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