Patrick Solé

most citedThe weight spectrum of two families of Reed-Muller codes

12 citations · 12 across the 2 of their papers we have counts for

collaborators

3 papers

cs.IT2026

Weight spectra of some families of GRM codes

Minjia Shi, Zhaokang Xing, Patrick Sole

Let $RM_{q} (r, m)$ denote the generalized Reed--Muller code of order $r$ and length $q^{m}$ over the finite field $F_{q}$ . We completely determine the weight spectra of…

cs.CR2023

Butson Hadamard matrices, bent sequences, and spherical codes

Minjia Shi, Danni Lu, Andrés Armario +3

We explore a notion of bent sequence attached to the data consisting of an Hadamard matrix of order $n$ defined over the complex $q^{t h}$ roots of unity, an eigenvalue of that matr…

cs.IT2023★ 12 cited

The weight spectrum of two families of Reed-Muller codes

Claude Carlet, Patrick Solé

We determine the weight spectra of the Reed-Muller codes $R M (m - 3, m)$ for $m \geq 6$ and $R M (m - 4, m)$ for $m \geq 8$ . The technique used is induction on $m$ , using that the sum of two we…