Linear Codes Over $\mathbb F_q$ Are Equivalent to LCD Codes for $q&gt;3$

Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Pellikaan, Ruud

doi:10.1109/tit.2018.2789347

Public

Linear Codes Over $\mathbb F_q$ Are Equivalent to LCD Codes for $q>3$

Published in IEEE Transactions on Information Theory • Jan 4, 2018

Authors:

Claude Carlet

Sihem Mesnager

Chunming Tang

Abstract

Linear codes with complementary duals (LCD) are linear codes whose intersection with their dual are trivial. When they are binary, they play an important role in armoring implementations against side-channel attacks and fault injection attacks. Nonbinary LCD codes in characteristic 2 can be transfor...

Subject

Code (set theory)

Linear code

Discrete mathematics

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