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math.CO2021
Weight enumerators, intersection enumerators and Jacobi polynomials II
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki, Manabu Oura
In the present paper, we introduce the concepts of Jacobi polynomials and intersection enumerators of codes over and for arbitrary genus . We als…
math.CO2021
Harmonic Tutte polynomials of matroids
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki, Manabu Oura
In the present paper, we introduce the concept of harmonic Tutte polynomials of matroids and discuss some of their properties. In particular, we generalize Greene's theorem, thereb…
math.CO2021
Variants of Jacobi polynomials in coding theory
Himadri Shekhar Chakraborty, Tsuyoshi Miezaki
In this paper, we introduce the notion of the complete joint Jacobi polynomial of two linear codes of length over and . We give the MacWilliams typ…