3 papers
math.CO2026
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…
math.CO2025
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…
math.CO2024
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…