Results 21 to 30 of about 60,467 (241)
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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On the largest minimum distances of [n,6] LCD codes. [PDF]
HeliyonLiu Y, Li R.
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Group LCD and group reversible LCD codes
Finite Fields and Their Applications, 2022 In this paper, we give a new method for constructing LCD codes. We employ group rings and a well known map that sends group ring elements to a subring of the $n \times n$ matrices to obtain LCD codes. Our construction method guarantees that our LCD codes are also group codes, namely, the codes are ideals in a group ring.
Steven T. Dougherty +3 more
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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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On LCD codes and lattices [PDF]
2016 IEEE International Symposium on Information Theory (ISIT), 2016 LCD (linear complimentary dual) codes are linear codes that trivially intersect their duals. We address the question of an equivalent concept for lattices. We observe basic properties of the intersection of a lattice with its dual, and consider the construction of lattices from LCD codes using Construction A.
Xiaolu Hou, Frédérique E. Oggier
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Design and implementation of a smart wireless controlled visual acuity measurement system
Journal of Medical Signals and Sensors, 2023 In this article, a smart visual acuity measurement (VAM) system is designed and implemented. Hardware of the proposed VAM system consists of two parts: a wireless remote controller, and a high-resolution LCD controlled through a Raspberry-Pi mini ...
Mohammad Hossein Vafaie +1 more
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On cyclic LRC codes that are also LCD codes [PDF]
2020 5th International Conference on Computing, Communication and Security (ICCCS), 2020 Locally recoverable (LRC) codes provide a solution to single node failure in distributed storage systems, where it is a very common problem. On the other hand, linear complementary dual (LCD) codes are useful in fault injections attacks on storage systems. In this paper, we establish a connection between LRC codes and LCD codes.
Charul Rajput +2 more
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Characterization and classification of optimal LCD codes [PDF]
Designs, Codes and Cryptography, 2021 33 ...
Makoto Araya, Masaaki Harada, Ken Saito
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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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