A Proof of a Conjecture About a Class of Near Maximum Distance Separable Codes

04/09/2023

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by   Wei Lu, et al.

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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.