Results 21 to 30 of about 168,087 (140)

Self-Dual Double Circulant, Self-Dual Double Negacirculant and LCD Double Negacirculant Codes Over the Ring F_q[u,v]/<u² - u, v²-v, uv-vu>

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, Bhanu Pratap Yadav, Bac T. Nguyen, Ashish Kumar Upadhyay, Woraphon Yamaka   +4 more
doaj   +1 more source

On complementary dual multinegacirculant codes

Cryptography and Communications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adel Alahmadi, Cem Güneri, Buket Özkaya, Hatoon Shohaib, Patrick Solé   +4 more
openaire   +9 more sources

Hermitian Rank Metric Codes and Duality

IEEE Access, 2021
In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for $\mathbb {F}_{q^{2}}$ -linear matrix codes in the ambient space $(\mathbb {F}_{q^{2}})_{n,m}$ and for both $\mathbb {F}_{q^{2}}$ -additive ...
Javier De La Cruz, Jorge Robinson Evilla, Ferruh Ozbudak   +2 more
doaj   +1 more source

Skew Constacyclic Codes over a Non-Chain Ring

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
doaj   +1 more source

Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]

ITM Web of Conferences
Linear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
doaj   +1 more source

Information Leakages in Code-based Masking: A Unified Quantification Approach

Transactions on Cryptographic Hardware and Embedded Systems, 2021
This paper presents a unified approach to quantifying the information leakages in the most general code-based masking schemes. Specifically, by utilizing a uniform representation, we highlight first that all code-based masking schemes’ side-channel ...
Wei Cheng, Sylvain Guilley, Claude Carlet, Jean-Luc Danger, Sihem Mesnager   +4 more
doaj   +1 more source

Additive complementary dual codes over $\F_4$

CoRR, 2022
A linear code is linear complementary dual (LCD) if it meets its dual trivially. LCD codes have been a hot topic recently due to Boolean masking application in the security of embarked electronics (Carlet and Guilley, 2014). Additive codes over $\F_4$ are $\F_4$-codes that are stable by codeword addition but not necessarily by scalar multiplication. An
Shi, Minjia, Liu, Na, Kim, Jon-Lark, Solé, Patrick   +3 more
openaire   +4 more sources

On the Structure of Cyclic Codes Over $\mathbb{F}_{q}{RS}$ and Applications in Quantum and LCD Codes Constructions

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, Tushar Bag, Ashish Kumar Upadhyay, Ramakrishna Bandi, Warattaya Chinnakum   +4 more
doaj   +1 more source

LCD codes and LCP of codes from units of group rings

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
A linear code with complementary dual(LCD) is a linear code such that LCD codes are of greatimportance due to their wide range of applications in consumer electronics,storage systems and cryptography. Group rings have a rich source of units. Alsothe well-
Mehmet Emin Köroğlu
doaj   +1 more source

Matrix-Product Complementary dual Codes

CoRR, 2016
17pages
Xiusheng Liu, Hualu Liu
openaire   +2 more sources