On the Dimensions of Hermitian Subfield Subcodes from Higher-Degree Places

The focus of our research is the examination of Hermitian curves over finite fields, specifically concentrating on places of degree three and their role in constructing Hermitian codes. We begin by studying the structure of the Riemann–Roch space associated with these degree-three places, aiming to...

Full description

Bibliographic Details

Published in:	Entropy
Main Authors:	Sabira El Khalfaoui, Gábor P. Nagy
Format:	Article
Language:	English
Published:	MDPI AG 2024-04-01
Subjects:	Hermitian curves degree-three places Riemann–Roch space Hermitian codes subfield subcodes automorphisms of Hermitian codes
Online Access:	https://www.mdpi.com/1099-4300/26/5/386