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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…