5 citations · 7 across the 18 of their papers we have counts for
18 papers
Neighbors, neighbor graphs and invariant rings in coding theory
Himadri Shekhar Chakraborty, Williams Chiari, Tsuyoshi Miezaki +1
In the present paper, we discuss the class of Type III and Type IV codes from the perspectives of neighbors. Our investigation analogously extends the results originally presented…
Jacobi polynomials, invariant rings, and generalized -designs
Himadri Shekhar Chakraborty, Nur Hamid, Tsuyoshi Miezaki +1
In the present paper, we provide results that relate the Jacobi polynomials in genus . We show that if a code is -homogeneous that is, the codewords of the code for every giv…
Weight Enumerators of codes over and over
A. K. M. Selim Reza, Manabu Oura, Nur Hamid
Weight enumerators are important tools for deciphering the algebraic structure of the related code spaces and for understanding group actions on these spaces. Our study focuses on…
The Tutte polynomials of genus
Tsuyoshi Miezaki, Manabu Oura, Tadashi Sakuma +1
In the paper [Proceedings of the Japan Academy, Ser. A Mathematical Sciences, 95(10) 111-113], the authors introduce the concept of the Tutte polynomials of genus and announce…
Note on the Type II codes of length
Shoyu Nagaoka, Manabu Oura
We express the weight enumerators of self-dual and doubly even (Type II for short) codes of length with a specified basis. As a consequence, we present some congruence relatio…
Basic Invariants of the Complex Reflection Group No.34 Constructed by Conway and Sloane
Manabu Oura, Jiro Sekiguchi
This paper studies the basic invariants, constructed by Conway and Sloane, of the complex reflection group numbered as 34 in the list of Shephard-Todd \cite{ST}.