2023/04/09 by Lu, Wei, Wu, Xia
#FOS: Computer and information sciences #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2304.04176
In this paper, we completely determine the number of solutions to Trq2q(bx+b)+c=0, x∈ μq+1\backslash \-1\ for all b∈ \mathbbFq2, c∈\mathbbFq. 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.