1 citations · 1 across the 7 of their papers we have counts for
7 papers
Harmonic higher weight distributions, Simonis' approach of MacWilliams identity and moments
Himadri Shekhar Chakraborty, Mehedi Hasan Tanver
We present a combinatorial proof of Simonis type MacWilliams identity for harmonic higher weight distributions of linear codes. Furthermore, we investigate the statistical moments…
Higher and extended Jacobi polynomials for codes
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki
In this paper, we introduce Jacobi polynomial generalizations of several classical invariants in coding theory over finite fields, specifically, the higher and extended weight enum…
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…
Harmonic higher and extended weight enumerators
Thomas Britz, Himadri Shekhar Chakraborty, Tsuyoshi Miezaki
In this paper, we present the harmonic generalizations of well-known polynomials of codes over finite fields, namely the higher weight enumerators and the extended weight enumerato…
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…
On the cycle index and the weight enumerator II
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki, Manabu Oura
In a previous paper, the second and third named author introduced the concept of the complete cycle index and discussed a relation with the complete weight enumerator in coding the…