The weight distribution of a class of two-weight linear codes derived from Kloosterman sums
Sign Up to like & getrecommendations! Published in 2017 at "Cryptography and Communications"
DOI: 10.1007/s12095-017-0221-1
Abstract: Linear codes with few weights have applications in data storage systems, secret sharing schemes, and authentication codes. In this paper, a class of p-ary two-weight linear codes is constructed using a generic construction developed by… read more here.
Keywords: two weight; class; weight distribution; linear codes ... See more keywords
A family of distance-optimal minimal linear codes with flexible parameters
Sign Up to like & getrecommendations! Published in 2019 at "Cryptography and Communications"
DOI: 10.1007/s12095-019-00373-7
Abstract: Due to their wide applications in communications, data storage and cryptography, linear codes have received much attention in the past decades. The objective of this paper is to construct a family of linear codes over… read more here.
Keywords: optimal minimal; distance optimal; family; linear codes ... See more keywords
A note on the minimal binary linear code
Sign Up to like & getrecommendations! Published in 2019 at "Cryptography and Communications"
DOI: 10.1007/s12095-019-00412-3
Abstract: Due to the wide applications in communications, data storage and cryptography, linear codes have received much attention in the past decades. As a subclass of linear codes, minimal linear codes can be used to construct… read more here.
Keywords: binary linear; preferred binary; codes min; linear codes ... See more keywords
The subfield codes of several classes of linear codes
Sign Up to like & getrecommendations! Published in 2020 at "Cryptography and Communications"
DOI: 10.1007/s12095-020-00432-4
Abstract: Let F 2 m $\mathbb {F}_{2^{m}}$ be the finite field with 2 m elements, where m is a positive integer. Recently, Heng and Ding in (Finite Fields Appl. 56 :308–331, 2019 ) studied the subfield… read more here.
Keywords: subfield codes; text mathbb; weight distribution; linear codes ... See more keywords
Recent results and problems on constructions of linear codes from cryptographic functions
Sign Up to like & getrecommendations! Published in 2020 at "Cryptography and Communications"
DOI: 10.1007/s12095-020-00435-1
Abstract: Linear codes have a wide range of applications in the data storage systems, communication systems, consumer electronics products since their algebraic structure can be analyzed and they are easy to implement in hardware. How to… read more here.
Keywords: construct linear; codes cryptographic; cryptographic functions; linear codes ... See more keywords
Hulls of linear codes revisited with applications
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01286-7
Abstract: Hulls of linear codes have been of interest and extensively studied due to their rich algebraic structures and wide applications. In this paper, alternative characterizations of hulls of linear codes are given as well as… read more here.
Keywords: revisited applications; codes revisited; linear codes; hulls linear ... See more keywords
Two-Weight Linear Codes and Their Applications in Secret Sharing
Sign Up to like & getrecommendations! Published in 2019 at "Chinese Journal of Electronics"
DOI: 10.1049/cje.2019.04.006
Abstract: Linear codes with few weighs have many applications in secret sharing. Determining the access structure of the secret sharing scheme based on a linear code is a very difficult problem. We provides a method to… read more here.
Keywords: two weight; linear codes; applications secret; secret sharing ... See more keywords
Decoding Binary Linear Codes Using Penalty Dual Decomposition Method
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2019.2911277
Abstract: In this letter, we utilize the penalty dual decomposition (PDD) framework and develop a novel PDD decoding algorithm for binary linear codes. Instead of relaxing the discrete constraints to continuous ones, we take an alternative… read more here.
Keywords: penalty; penalty dual; linear codes; dual decomposition ... See more keywords
Bounds on Covering Radius of F2R-Linear Codes
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2020.3024543
Abstract: In this letter, we determine the bounds on covering radius of repetition codes, simplex codes and MacDonald codes over $\mathbb {F}_{2}R$ with respect to the Chinese Euclidean distance. read more here.
Keywords: linear codes; bounds covering; radius f2r; covering radius ... See more keywords
A Construction of Minimal Linear Codes From Partial Difference Sets
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2021.3067049
Abstract: In this paper, we study a class of linear codes defined by characteristic functions of certain subsets of a finite field. We derive a sufficient and necessary condition for such a code to be a… read more here.
Keywords: minimal linear; difference sets; partial difference; linear codes ... See more keywords
Computer Classification of Linear Codes
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2021.3114280
Abstract: Two algorithms for the classification of linear codes over finite fields are presented. One of the algorithms is based on canonical augmentation and the other one on lattice point enumeration. New classification results over fields… read more here.
Keywords: classification; linear codes; classification linear; computer classification ... See more keywords