Author:
Thakral Ridhima,Dutt Sucheta,Sehmi Ranjeet
Abstract
Abstract
Linear complementary dual(LCD) codes are being utilized to protect cryptographic implementations from side-channel and fault attacks. In this work, LCD codes over the ring Z
4 are examined. It is observed that an LCD cyclic code over Z
4 of odd length is always reversible. However, the converse of this result does not hold. A suitable example to validate this statement is presented. Further, a necessary and sufficient condition for a reversible cyclic code of odd length to be an LCD code is obtained. Finally, it is found that among cyclic codes of length 2
k
, no non-trivial LCD code exists.
Subject
General Physics and Astronomy
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