D. K. Bhunia

activity

20222026

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cs.IT2026

Full classification of $Z_{p^{s}}$ -linear generalized Hadamard codes

Dipak K. Bhunia

The $Z_{p^{s}}$ -additive codes are subgroups of $Z_{p^{s}}^{n}$ . A $Z_{p^{s}}$ -linear generalized Hadamard (GH) code is a GH code over $Z_{p}$ which is th…

math.AC2026

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

Dipak K. Bhunia, Eduardo Camps-Moreno, Ignacio GarcÍa-Marco +2

Given a finite Cartesian set $S = X \times Y$ and a decreasing set of monomials $M$ , we call extremal polynomials for $M$ over $S$ those that have the maximum numbe…

cs.IT2026

The kernel-block rank profiles of the $Z_{2} Z_{4}$ -linear and the $Z_{2^{s}}$ -linear Hadamard codes, and a complete classification of the $Z_{2} Z_{4} Z_{8}$ -linear Hadamard codes

Dipak K. Bhunia

The kernel of a binary code containing the zero word partitions the binary coordinates into blocks, two coordinates lying in the same block when every kernel word takes the same va…

cs.IT2026

The kernel-block rank profile and a complete classification of $Z_{2} Z_{4} Z_{8}$ -linear Hadamard codes

Dipak K. Bhunia

The $Z_{2} Z_{4} Z_{8}$ -additive codes are subgroups of $Z_{2}^{α_{1}} \times Z_{4}^{α_{2}} \times Z_{8}^{α_{3}}$ , and a $\mathbb{Z}_2\mathbb{Z}_4\mat…

cs.IT2026

Rank and classification of $Z_{2} Z_{4} Z_{8}$ -linear Hadamard codes

Dipak K. Bhunia

The $Z_{2} Z_{4} Z_{8}$ -additive codes are subgroups of $Z_{2}^{α_{1}} \times Z_{4}^{α_{2}} \times Z_{8}^{α_{3}}$ . A $\mathbb{Z}_2\mathbb{Z}_4\mathbb{…

Full classification of Zps​-linear generalized Hadamard codes

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

The kernel-block rank profiles of the Z2​Z4​-linear and the Z2s​-linear Hadamard codes, and a complete classification of the Z2​Z4​Z8​-linear Hadamard codes

The kernel-block rank profile and a complete classification of Z2​Z4​Z8​-linear Hadamard codes

Rank and classification of Z2​Z4​Z8​-linear Hadamard codes

Full classification of $Z_{p^{s}}$ -linear generalized Hadamard codes

The kernel-block rank profiles of the $Z_{2} Z_{4}$ -linear and the $Z_{2^{s}}$ -linear Hadamard codes, and a complete classification of the $Z_{2} Z_{4} Z_{8}$ -linear Hadamard codes

The kernel-block rank profile and a complete classification of $Z_{2} Z_{4} Z_{8}$ -linear Hadamard codes

Rank and classification of $Z_{2} Z_{4} Z_{8}$ -linear Hadamard codes