On the minimum distance, minimum weight codewords, and the dimension of projective Reed-Muller codes
SR Ghorpade, R Ludhani - arXiv preprint arXiv:2309.10196, 2023 - arxiv.org
We give an alternative proof of the formula for the minimum distance of a projective Reed-
Muller code of an arbitrary order. It leads to a complete characterization of the minimum …
Muller code of an arbitrary order. It leads to a complete characterization of the minimum …
Near-MDS codes from elliptic curves
Near-MDS codes from elliptic curves | Designs, Codes and Cryptography Skip to main content
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
Higher weight spectra and Betti numbers of Reed-Muller codes
SR Ghorpade, T Johnsen, R Ludhani… - arXiv preprint arXiv …, 2024 - arxiv.org
We determine the higher weight spectra of $ q $-ary Reed-Muller codes $ C_q= RM_q (2, 2)
$ for all prime powers $ q $. This is equivalent to finding the usual weight distributions of all …
$ for all prime powers $ q $. This is equivalent to finding the usual weight distributions of all …
On the cohomology of the space of seven points in general linear position
O Bergvall - Research in Number Theory, 2020 - Springer
We determine the cohomology groups of the space of seven points in general linear position
in the projective plane as representations of the symmetric group on seven elements by …
in the projective plane as representations of the symmetric group on seven elements by …
Seven points in general linear position
O Bergvall - arXiv preprint arXiv:2007.16014, 2020 - arxiv.org
arXiv:2007.16014v1 [math.AG] 31 Jul 2020 Page 1 SEVEN POINTS IN GENERAL LINEAR
POSITION OLOF BERGVALL Abstract. We determine the cohomology groups of the space of …
POSITION OLOF BERGVALL Abstract. We determine the cohomology groups of the space of …