Linear p -ary codesSecret sharing schemesWeakly regular plateaued functionsWeight distributionLinear codes, the most significant class of codes in coding theory, have diverse applications in secret sharing schemes, authentication codes, communication, data storage devices and consumer electronics. The main ...
linear coding techniques, such as linear block codes or cyclic codes, are used in error detection and correction. by introducing redundant bits into the transmitted data, these codes can detect and correct errors that occur during transmission. they work by adding parity information or using error...
[lecture notes in computer science] coding theory and applications volume 5228 || how to know if a linear code is a group code?Barbero, Ãngela
Minimal codes are a special type of linear codes, which have nice applications in secret sharing and secure two-party computation. How to construct new infinite family of minimal codes has been a hot topic in coding theory and cryptography. In this paper, by employing exponential sums, we stud...
The semilinear equivalence of codes is a generalization of a basic concept, code equivalence, in coding theory. The well-known MacWilliams theorem [12], [13] established an equivalent condition for code equivalence, which shows that any isomorphism between two linear codes C and C′ preserving ...
Mesnager, S.: Linear Codes from Functions, Chapter 20 in A Concise Encyclopedia of Coding Theory. CRC Press, Taylor and Francis Group, London, New York (2021) Google Scholar Shi, M., Liu, Y., Solé, P.: Optimal two weight codes from trace codes over Fp+uFp. IEEE Commun. Lett. 20...
The hull of linear codes is an important and hot issue in coding theory. In this paper, we rst show that the dimensions of Galois hulls of linear codes have symmetry and then some sucient and necessary conditions for a linear code being an e -Galois self-orthogonal or LCD code are given...
1 Channel Coding - Linear block codes and syndrome decoding NLOS Mitigation Using Linear Programming in Interval number and fuzzy number linear programming Sequential Linear Programming Algorithm to Portfolio Optimization linear programming bazaraa solutions manual filetype linear programming - foundations and ...
J. Massey, Some applications of coding theory, inCryptography, Codes and Ciphers: Cryptography and Coding IV, P. G. Farrell, ed., Formara Limited, Essex, England, 1995, pp. 33–47. Google Scholar J. Yuan and C. Ding, Secret sharing schemes from three classes of linear codes,IEEE Trans...
applications in coding theory. One application is in the construction of propelinear codes, as we discuss in the next section. Another is in the construction of Hermitian self-orthogonal codes over the finite field of order 4, which in turn are used to construct quantum codes, see [4,5]....