A Proof of a Conjecture About a Class of Near Maximum Distance Separable Codes
share
In this paper, we completely determine the number of solutions to Tr^q^2_q(bx+b)+c=0, x∈μ_q+1\{-1} for all b∈𝔽_q^2, c∈𝔽_q. As an application, we can give the weight distributions of a class of linear codes, and give a completely answer to a recent conjecture about a class of NMDS codes proposed by Heng.
READ FULL TEXT