41 citations · 108 across the 16 of their papers we have counts for
17 papers
Classification of ternary maximal self-orthogonal codes of length 25
Makoto Araya, Masaaki Harada
Ternary maximal self-orthogonal codes have been classified for lengths up to . In this note, we provide a complete classification of ternary maximal self-orthogonal codes of le…
Unbiased weighing matrices of weight
Makoto Araya, Masaaki Harada, Hadi Kharaghani +2
We investigate unbiased weighing matrices of weight and provide a construction method using mutually suitable Latin squares. For , we determine the maximum size among…
On the classification of skew Hadamard matrices of order 36 and related structures
Makoto Araya, Masaaki Harada, Hadi Kharaghani +2
Two skew Hadamard matrices are considered {\sf SH}-equivalent if they are similar by a signed permutation matrix. This paper determines the number of {\sf SH}-inequivalent skew Had…
Hadamard matrices of orders 60 and 64 with automorphisms of orders 29 and 31
Makoto Araya, Masaaki Harada, Vladimir D. Tonchev
A classification of Hadamard matrices of order with an automorphism of order is given for and . The ternary self-dual codes spanned by the newly found Hadamar…
Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes
Makoto Araya, Masaaki Harada
We give restrictions on the weight enumerators of ternary near-extremal self-dual codes of length divisible by and quaternary near-extremal Hermitian self-dual codes of length…
Hadamard matrices related to a certain series of ternary self-dual codes
Makoto Araya, Masaaki Harada, Koji Momihara
In 2013, Nebe and Villar gave a series of ternary self-dual codes of length for a prime congruent to modulo . As a consequence, the third ternary extremal self-…
The existence of partitioned balanced tournament designs
M. Araya, N. Tokihisa
E. R. Lamken prove in [5] that there exists a partitioned balanced tournament design of side , PBTD(), for a positive integer, , except possibly for $n \in \{9,1…
On the classification of quaternary optimal Hermitian LCD codes
Makoto Araya, Masaaki Harada
We propose a method for a classification of quaternary Hermitian LCD codes having large minimum weights. As an example, we give a classification of quaternary optimal Hermitian LCD…
Quaternary Hermitian linear complementary dual codes
Makoto Araya, Masaaki Harada, Ken Saito
The largest minimum weights among quaternary Hermitian linear complementary dual codes are known for dimension . In this paper, we give some conditions for the nonexistence of q…
On the minimum weights of binary linear complementary dual codes
Makoto Araya, Masaaki Harada
Linear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. We study the largest minimum weight am…
There exists a partitioned balanced tournament design of side nine
Makoto Araya, Naoya Tokihisa
We construct a partitioned balanced tournament design of side nine.
On the classification of linear complementary dual codes
Makoto Araya, Masaaki Harada
We give a complete classification of binary linear complementary dual codes of lengths up to and ternary linear complementary dual codes of lengths up to .
On the classification of -codes
Makoto Araya, Masaaki Harada, Hiroki Ito +1
In this note, we study the classification of -codes. For some special cases , by hand, we give a classification of -codes of length and t…
Supplementary difference sets related to a certain class of complex spherical 2-codes
Makoto Araya, Masaaki Harada, Sho Suda
In this paper, we study skew-symmetric - supplementary difference sets related to a certain class of complex spherical 2-codes. A classification of such supplementa…
On the classification of certain ternary codes of length 12
Makoto Araya, Masaaki Harada
Shimada and Zhang studied the existence of polarizations on some supersingular surfaces by reducing the existence of the polarizations to that of ternary codes satisf…
Quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices: a coding-theoretic approach
Makoto Araya, Masaaki Harada, Sho Suda
This paper is concerned with quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices, which are generalizations of unbiased Hadamard matrices, equivalently unbiased…
There is no [21, 5, 14] code over F5
Makoto Araya, Masaaki Harada
In this note, we demonstrate that there is no [21, 5, 14] code over F5.