26 citations · 49 across the 41 of their papers we have counts for
5 papers · 1 filter
Equivariant theory for codes and lattices I
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki
In this paper, we present a generalization of Hayden's theorem [7, Theorem 4.2] for -codes over finite Frobenius rings. A lattice theoretical form of this generalization is also…
A note on the Assmus--Mattson theorem for some ternary codes (a resume)
Eiichi Bannai, Tsuyoshi Miezaki, Hiroyuki Nakasora
Let be a two and three-weight ternary code. Furthermore, we assume that are -designs for all by the Assmus--Mattson theorem. We show that . As a co…
A note on -designs in isodual codes
Madoka Awada, Tsuyoshi Miezaki, Akihiro Munemasa +1
In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.
Galois points for a finite graph
Satoru Fukasawa, Tsuyoshi Miezaki
This paper introduces the notion of a Galois point for a finite graph, using the theory of linear systems of divisors for graphs discovered by Baker and Norine. We present a new ch…
Jacobi polynomials and harmonic weight enumerators of the first-order Reed--Muller codes and the extended Hamming codes
Tsuyoshi Miezaki, Akihiro Munemasa
In the present paper, we give harmonic weight enumerators and Jacobi polynomials for the first-order Reed--Muller codes and the extended Hamming codes. As a corollary, we show the…