Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Designs, Codes and Cryptography
Published in: Designs, Codes and Cryptography 11/2020

29-08-2020

Linear complementary pair of group codes over finite chain rings

Authors: Cem Güneri, Edgar Martínez-Moro, Selcen Sayıcı

Published in: Designs, Codes and Cryptography | Issue 11/2020

Login to get access

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Linear complementary dual (LCD) codes and linear complementary pair (LCP) of codes over finite fields have been intensively studied recently due to their applications in cryptography, in the context of side channel and fault injection attacks. The security parameter for an LCP of codes (C, D) is defined as the minimum of the minimum distances d(C) and \(d(D^\bot )\). It has been recently shown that if C and D are both 2-sided group codes over a finite field, then C and \(D^\bot \) are permutation equivalent. Hence the security parameter for an LCP of 2-sided group codes (C, D) is simply d(C). We extend this result to 2-sided group codes over finite chain rings.
previous article Deletion correcting codes meet the Littlewood–Offord problem
next article Fast computation of linear approximation over certain composition functions and applications to SNOW 2.0 and SNOW 3G
Literature
1.
Bhasin S., Danger J.-L., Guilley S., Najm Z., Ngo X.T.: Linear complementary dual code improvement to strengthen encoded circuit against hardware Trojan horses. In: IEEE International Symposium on Hardware Oriented Security and Trust (HOST), May 5–7, (2015)
2.
Bhowmick S., Fotue-Tabue A., Martínez-Moro E., Bandi R., Bagchi Satya: Do non-free LCD codes over finite commutative Frobenius rings exist? Des. Codes Cryptogr. 88, 825–840 (2020).MathSciNetCrossRef
3.
Borello M., de Cruz J., Willems W.: A note on linear complementary pairs of group codes. Discret. Math. 343, 111905 (2020).MathSciNetCrossRef
4.
Bringer J., Carlet C., Chabanne H., Guilley S., Maghrebi H.: Orthogonal direct sum masking: a smartcard friendly computation paradigm in a code, with builtin protection against side-channel and fault attacks. In: WISTP, pp. 40–56. Springer, Heraklion (2014).
5.
Carlet C., Güneri C., Özbudak F., Özkaya B., Solé P.: On linear complementary pairs of codes. IEEE Trans. Inf. Theory 64, 6583–6589 (2018).MathSciNetCrossRef
6.
Güneri C., Özkaya B., Sayıcı S.: On linear complementary pair of \(n\)D cyclic codes. IEEE Commun. Lett. 22, 2404–2406 (2018).CrossRef
7.
8.
9.
10.
11.
Norton G.H., Salagean A.: On the structure of linear and cyclic codes over a finite chain ring. Appl. Algebr. Eng. Commun. Comput. 10, 489–506 (2000).MathSciNetCrossRef
12.
Norton G.H., Salagean A.: On the Hamming distance of linear codes over a finite chain ring. IEEE Trans. Inf. Theory 46, 1060–1067 (2000).MathSciNetCrossRef
Metadata
Title
Linear complementary pair of group codes over finite chain rings
Authors
Cem Güneri
Edgar Martínez-Moro
Selcen Sayıcı
Publication date
29-08-2020
Publisher
Springer US
Published in
Designs, Codes and Cryptography / Issue 11/2020
Print ISSN: 0925-1022
Electronic ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-020-00792-1

Other articles of this Issue 11/2020

Designs, Codes and Cryptography 11/2020 Go to the issue

OriginalPaper

The phantom of differential characteristics

OriginalPaper

LCD codes and self-orthogonal codes in generalized dihedral group algebras

OriginalPaper

Symmetries of biplanes

OriginalPaper

Fast computation of linear approximation over certain composition functions and applications to SNOW 2.0 and SNOW 3G

OriginalPaper

Deletion correcting codes meet the Littlewood–Offord problem

OriginalPaper

Doubly resolvable Steiner quadruple systems of orders

Premium Partner

    Image Credits