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D. K. Bhunia

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Preprint Oct 2026

Full classification of $\mathbb{Z}_{p^s}$-linear generalized Hadamard codes

The $\mathbb{Z}_{p^s}$-additive codes are subgroups of $\mathbb{Z}_{p^s}^n$. A $\mathbb{Z}_{p^s}$-linear generalized Hadamard (GH) code is a GH code over $\mathbb{Z}_p$ which is the Gray map image of a $\mathbb{Z}_{p^s}$-additive code. A recursive construction gives such codes $H_p^{t_1,\dots,t_s}$, of type $(n;t_1,\do...

D. K. Bhunia · 0 citations

Preprint Oct 2026

Polynomials with restricted support and maximal zeros on a finite Cartesian set

Given a finite Cartesian set $S=X \times Y$ and a decreasing set of monomials $\mathcal M$, we call extremal polynomials for $\mathcal M$ over $S$ those that have the maximum number of zeros in $S$ and whose support belongs to $\mathcal M$. Coordinate factorizations give a family of extremal polynomials; we call them c...

D. K. Bhunia, Eduardo Camps-Moreno, Ignacio García-Marco et al. · 0 citations