Results 11 to 20 of about 7,931,944 (349)
Computer Classification of Linear Codes [PDF]
IEEE Transactions on Information Theory, 2021 We present algorithms for classification of linear codes over finite fields, based on canonical augmentation and on lattice point enumeration. We apply these algorithms to obtain classification results over fields with 2, 3 and 4 elements. We validate a correct implementation of the algorithms with known classification results from the literature ...
Iliya Bouyukliev +2 more
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How many weights can a linear code have? [PDF]
Designs, Codes and Cryptography, 2018 We study the combinatorial function L(k, q), the maximum number of nonzero weights a linear code of dimension k over Fq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \
Minjia Shi +3 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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Private information retrieval in distributed storage systems using an arbitrary linear code [PDF]
International Symposium on Information Theory, 2016 We propose an information-theoretic private information retrieval (PIR) scheme for distributed storage systems where data is stored using a linear systematic code of rate R> 1/2.
Siddhartha Kumar, E. Rosnes, A. G. Amat
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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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Sliding Window Random Linear Code (RLC) Forward Erasure Correction (FEC) Schemes for FECFRAME
Request for Comments, 2020 This document specifies Sliding Window Random Linear Code (RLC) Forward Erasure Correction (FEC) Schemes for the QUIC transport protocol, in order to recover from packet losses.
Vincent Roca, Belkacem Teibi
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VASPKIT: A user-friendly interface facilitating high-throughput computing and analysis using VASP code [PDF]
Computer Physics Communications, 2019 We present the VASPKIT, a command-line program that aims at providing a powerful and user-friendly interface to perform high-throughput analysis of a variety of material properties from the raw data produced by the VASP code.
V. Wang +4 more
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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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Quantum resistant random linear code based public key encryption scheme RLCE [PDF]
International Symposium on Information Theory, 2015 Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes.
Yongge Wang
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The parameters of minimal linear codes [PDF]
Finite Fields and Their Applications, 2021 Let $k\leq n$ be two positive integers and $q$ a prime power. The basic question in minimal linear codes is to determine if there exists an $[n,k]_q$ minimal linear code. The first objective of this paper is to present a new sufficient and necessary condition for linear codes to be minimal.
Wei Lu 0022, Xia Wu 0002, Xiwang Cao
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