00994627

j

00994627 Goldwasser, John L. Shortened and punctured codes and the MacWilliams identities. Linear Algebra Appl. 253, 1-13 (1997). 1997 Elsevier Science Inc. (North-Holland), New York, NY EN shortened and punctured codes MacWilliams identities

doi:10.1016/0024-3795(95)00671-0

Summary: We use shortened and punctured codes to give an elementary proof of a combinatorial identity of Brualdi, Pless, and Beissinger from which the MacWilliams identities follow as special cases. We also give a short, mostly combinatorial proof of one form of the MacWilliam identities for binary codes.