D. K. Bhunia

activity

20222026

collaborators

9 papers

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{…

cs.IT2024

Linearity and Classification of $Z_{2} Z_{4} Z_{8}$ -Linear Hadamard Codes

Dipak K. Bhunia, Cristina Fernández-Córdoba, Mercè Villanueva

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\mat…

cs.IT2023

$Z_{2} Z_{4} Z_{8}$ -Additive Hadamard Codes

Dipak K. Bhunia, Cristina Fernández-Córdoba, Mercè Villanueva

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 can be seen as linear codes…

cs.IT2022

Construction and Linearity of Z_pZ_{p^2}-Linear Generalized Hadamard Codes

Dipak K. Bhunia, Cristina Fernández-Córdoba, Mercè Villanueva

The $Z_{p} Z_{p^{2}}$ -additive codes are subgroups of $Z_{p}^{α_{1}} \times Z_{p^{2}}^{α_{2}}$ , and can be seen as linear codes over $Z_{p}$ when $α_{2} = 0$ , $Z_{p^{2}}$ -additive codes when $α_1…

cs.IT2022

Equivalences among Z_{p^s}-linear Generalized Hadamard Codes

Dipak K. Bhunia, Cristina Fernández-Córdoba, Carlos Vela +1

The $Z_{p^{s}}$ -additive codes of length $n$ are subgroups of $Z_{p^{s}}^{n}$ , and can be seen as a generalization of linear codes over $Z_{2}$ , $Z_{4}$ , or $Z_{2^{s}}$ in general. A $\Z_…

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

Linearity and Classification of Z2​Z4​Z8​-Linear Hadamard Codes

Z2​Z4​Z8​-Additive Hadamard Codes

Construction and Linearity of Z_pZ_{p^2}-Linear Generalized Hadamard Codes

Equivalences among Z_{p^s}-linear Generalized 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

Linearity and Classification of $Z_{2} Z_{4} Z_{8}$ -Linear Hadamard Codes

$Z_{2} Z_{4} Z_{8}$ -Additive Hadamard Codes