If q-1 and d-2 are coprime then generalized doubly extended Reed-Solomon codes have the same weight distribution for every weight-2 coset.
Cambridge: Cambridge University Press (2003)
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Weight distributions of cosets of weight 2 of the generalized doubly extended Reed-Solomon codes
If q-1 and d-2 are coprime then generalized doubly extended Reed-Solomon codes have the same weight distribution for every weight-2 coset.