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cs.IT2026
Dualities for finite abelian groups and applications to coding theory
Jay A. Wood
The choice of an isomorphism, a duality, between a finite abelian group and its character group allows one to define dual codes of additive codes over . Properties of dualit…
cs.IT2026
Weights on finite fields and failures of the MacWilliams identities
Jay A. Wood
In the 1960s, MacWilliams proved that the Hamming weight enumerator of a linear code over a finite field completely determines, and is determined by, the Hamming weight enumerator…