Linear Complementary Pairs of Multi-twisted Codes and their Characterizations

Authors

DOI:

https://doi.org/10.26713/cma.v13i2.1756

Keywords:

Linear complementary pair, Multi-twisted code, Finite field, Constituents

Abstract

The linear complementary pairs (LCP) of codes is studied mainly due to their application in cryptography. It is used in the protection against physical attacks such as the side channel and fault injection. In this paper, we study the LCP of codes which belong to the class of multi-twisted codes. We give characterizations for the multi-twisted LCP of codes via their constituents and in terms of the generator polynomial of the code

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References

N. Aydin and A. Halilovic, A generalization of quasi-twisted codes: Multi-twisted codes, Finite Fields and Their Applications 45 (2017), 96 – 106, DOI: 10.1016/j.ffa.2016.12.002.

J. Bringer, C. Carlet, H. Chabanne, S. Guilley and H. Maghrebi, Orthogonal direct sum masking – A smartcard friendly computation paradigm in a code, with builtin protection against side-channel and fault attacks, in: WISTP 2014: Information Security Theory and Practice. Securing the Internet of Things, Springer, Heraklion, pp. 40 – 56, 2014, DOI: 10.1007/978-3-662-43826-8_4.

C. Carlet, C. Güneri, F. Özbudak, B. Özkaya and P. Solé, On linear complementary pairs of codes, IEEE Transactions on Information Theory 64(10) (2018), 6583 – 6589, DOI: 10.1109/tit.2018.2796125.

S. Lang, Algebra, revised third edition, Springer-Verlag New York (2002), DOI: 10.1007/978-1-4613-0041-0.

R. Lidl and H. Niederreiter, Finite Fields, 2nd edition, Cambridge University Press (2009), DOI: 10.1017/CBO9780511525926.

J.L. Massey, Linear codes with complementary duals, Discrete Mathematics 106/107 (1992), 337 – 342, DOI: 10.1016/0012-365x(92)90563-u.

X.T. Ngo, S. Bhasin, J.-L. Danger, S. Guilley and Z. Najm, Linear complementary dual code improvement to strengthen encoded circuit against hardware Trojan horses, 2015 IEEE International Symposium on Hardware Oriented Security and Trust (HOST), May 5-7, 2015, pp. 82 – 87, DOI: 10.1109/hst.2015.7140242.

E. Prange, Cyclic error correcting codes in two symbols, Air Force Cambridge Research Center (1957), p. 103.

A. Sharma, V. Chauhan and H. Singh, Multi-twisted codes over finite fields and their dual codes, Finite Fields and Their Applications 51 (2018), 270 – 297, DOI: 10.1016/j.ffa.2018.01.012.

X. Yang and J.L. Massey, The condition for a cyclic code to have a complementary dual, Discrete Mathematics 126 (1994), 391 – 393, DOI: 10.1016/0012-365x(94)90283-6.

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Published

17-08-2022
CITATION

How to Cite

Rubayya, Ali, K. S. M., & Datt, M. S. (2022). Linear Complementary Pairs of Multi-twisted Codes and their Characterizations. Communications in Mathematics and Applications, 13(2), 493–500. https://doi.org/10.26713/cma.v13i2.1756

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Research Article