Affiliation:
1. Fundamentals Department, Air Force Engineering University, Xi’an 710051, China
Abstract
Linear complementary dual (LCD) codes, which are a class of linear codes introduced by Massey, have been extensively studied in the literature recently. It has been shown that LCD codes play a role in measures to counter passive and active side-channel analyses on embedded cryptosystems. In this paper, tables are presented of good quaternary Hermitian LCD codes and they are used in the construction of puncturing, shortening and combination codes. The results of this, including three tables of the best-known quaternary Hermitian LCD codes of any length n≤25 with corresponding dimension k, are presented. In addition, many of these quaternary Hermitian LCD codes given in this paper are optimal and saturate the lower or upper bound of Grassl’s code table, and some of them are nearly optimal.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shaanxi
Reference30 articles.
1. Reversible codes;Massey;Inf. Control,1964
2. Linear codes with complementary duals;Massey;Discret. Math.,1992
3. Complementary dual codes for counter-measures to side-channel attacks;Carlet;Adv. Math. Commun.,2016
4. Maximal entanglement entanglement-assisted quantum codes constructed from linear codes;Lu;Quantum Inf. Process.,2015
5. Lv, L., Li, R., Fu, Q., and Li, X. (2015, January 19–20). Maximal entanglement entanglement-assisted quantum codes constructed from quaternary BCH codes. Proceedings of the IEEE Advanced Information Technology, Electronic and Automation Control Conference, Chongqing, China.
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