| Abstrakt: |
In this article, first we present a method for constructing many Hermitian LCD codes from a given Hermitian LCD code, and then provide several methods which utilize either a given [n, k, d] linear code or a given [n, k, d] Galois LCD code to construct new Galois LCD codes with different parameters. Using these construction methods, we construct several new [n, k, d] ternary LCD codes with better parameters for 26 ≤ n ≤ 40 , and 21 ≤ k ≤ 30 . Also, optimal 2 -Galois LCD codes over F 2 3 for code length, 1 ≤ n ≤ 15 have been obtained. Finally, we extend some previously known results to the σ -inner product from Euclidean inner product. [ABSTRACT FROM AUTHOR] |
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