Web6 jul. 2024 · The Galois hull of a linear code is the intersection of itself and its Galois dual code, which has aroused the interest of researchers in these y ears. In this paper, we … Webwe obtain a necessary and sufficient condition for a linear code to be an -Galois LCD code. In Sect. 4, we first show that the dimension of any -Galois hull of a linear code is invariant under permutation equivalences for 0 ≤ ≤ e − 1. For ternary codes, the dimension of the -Galois hull is also invariant under monomial equivalences.

On Hull-Variation Problem of Equivalent Linear Codes

Web10 mrt. 2024 · The hull of a linear code was studied by Assmus et al. to classify finite projective planes. In coding theory, the hull of a linear code plays a crucial role in … Web29 jun. 2024 · Our method can be applied to the generalized Reed-Solomon codes and the generalized twisted Reed-Solomon codes to construct arbitrary dimension hull MDS … elementary technical mathematics pdf

On Hull-Variation Problem of Equivalent Linear Codes DeepAI

Web29 jun. 2024 · In this paper, we develop a method to construct linear codes with trivial hull ( LCD codes) and one-dimensional hull by employing the positive characteristic … WebCode1 Code2 Code3 Code4 Code4 Ternary linear codes with one-dimensional hull Database for the paper ``On the minimum distances of optimal ternary linear codes with one-dimensional hull” Ternary linear codes with one-dimensional hull for $n\leq 20$ n=3 [3, 1, 3] Cyclic Linear Code over GF(3) Generator matrix: [1 1 1] Web8 apr. 2024 · The hull of a linear code over finite fields is the intersection of the code and its dual, which was introduced by Assmus and Key. In this paper, we develop a method to construct linear codes with ... elementary team building games