Weight distributions of cosets of weight 2 of the generalized doubly extended Reed-Solomon codes

Alexander A. Davydov, Stefano Marcugini, Fernanda Pambianco

We consider the weight distributions of the cosets of weight 2 of the generalized $[q+1,q+2-d,d{]}_q$ doubly extended Reed-Solomon codes (GDRS) of minimum distance $d\ge 5$, over the…