Geodesic
Some $LCD$ cyclic codes of length $2p$ over finite fields
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 249-259

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In this paper, we explicitly determine the LCD minimal and maximal cyclic codes of length 2p over finite fields 𝔽_q with p and q are distinct odd primes and ϕ (p)=p-1 is the multiplicative order of q modulo 2p. We show that, every LCD maximal cyclic code is a direct sum of LCD minimal cyclic codes.
Keywords: linear and cyclic codes, LCD codes, reversible codes 
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Heboub, Lakhdar; Mihoubi, Douadi. Some $LCD$ cyclic codes of length $2p$ over finite fields. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 249-259. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_2_a0/