7 papers · 1 filter
Enumeration and Monotonicity of Linear Codes with Prescribed Hull Dimensions
Stefka Bouyuklieva, Keita Ishizuka, Iliya Bouyukliev +1
The hull of a linear code is the intersection of the code with its dual and depends on the choice of inner product. We study how the numbers of linear codes with prescribed Euclide…
Almost All Vectorial Functions Have Trivial Extended-Affine Stabilizers
Keita Ishizuka
We prove that asymptotically almost all vectorial functions over finite fields have trivial extended-affine stabilizers. As a consequence, the number of EA-equivalence classes is a…
Constructions of self-orthogonal and LCD subspace codes
Dean Crnković, Keita Ishizuka, Hadi Kharaghani +2
Recently, the notions of self-orthogonal subspace codes and LCD subspace codes were introduced, and LCD subspace codes obtained from mutually unbiased weighing matrices were studie…
Binary LCD Codes and Their Graph Representations
Keita Ishizuka
We give a complete characterization of simple graphs whose adjacency matrices generate binary linear complementary dual (LCD) codes. In particular, we completely characterize a dis…
Ternary extremal four-negacirculant self-dual codes
Masaaki Harada, Keita Ishizuka, Hadi Kharaghani
In this note, we give basic properties of ternary four-negacirculant self-dual codes. By exhaustive computer search based on the properties, we complete a classification of ternary…
Hadamard matrices of order formed by codewords in some ternary self-dual codes
Masaaki Harada, Keita Ishizuka
In this note, we study the existence of Hadamard matrices of order formed by codewords of weight in some ternary near-extremal self-dual codes of length .
Classification of optimal quaternary Hermitian LCD codes of dimension
Keita Ishizuka
Hermitian linear complementary dual codes are linear codes whose intersection with their Hermitian dual code is trivial. The largest minimum weight among quaternary Hermitian linea…