17 citations · 19 across the 5 of their papers we have counts for
4 papers · 1 filter
Introducing Three Best Known Goppa Codes
Jan L. Carrasquillo-López, Axel O. Gómez-Flores, Christopher Soto +1
The current best known binary linear codes have minimum distance 98, 98, and 99 respectively. In this article, we introduce th…
Orbit Structure of Grassmannian and a decoder for Grassmann code
Fernando Piñero, Prasant Singh
In this manuscript, we consider decoding Grassmann codes, linear codes associated to Grassmannian of planes in an affine space. We look at the orbit structure of Grassmannian arisi…
Codes with locality from cyclic extensions of Deligne-Lusztig curves
Gretchen L. Matthews, Fernando L. Piñero
Recently, Skabelund defined new maximal curves which are cyclic extensions of the Suzuki and Ree curves. Previously, the now well-known GK curves were found as cyclic extensions of…
Explicit optimal-length locally repairable codes of distance 5
Allison Beemer, Ryan Coatney, Venkatesan Guruswami +2
Locally repairable codes (LRCs) have received significant recent attention as a method of designing data storage systems robust to server failure. Optimal LRCs offer the ideal trad…