2000 character limit reached
On Parameters of Subfield Subcodes of Extended Norm-Trace Codes
Published 20 Apr 2016 in math.AG, cs.IT, math.AC, math.CO, math.IT, and math.NT | (1604.05777v1)
Abstract: In this article we describe how to find the parameters of subfield subcodes of extended Norm--Trace codes. With a Gr\"obner basis of the ideal of the $\mathbb{F}_{qr}$ rational points of the Norm--Trace curve one can determine the dimension of the subfield subcodes or the dimension of the trace code. We also find a BCH--like bound from the minimum distance of the original supercode.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.