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Weight enumerators of self-dual codes

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2 Author(s)
Brualdi, R.A. ; Dept. of Math., Wisconsin Univ., Madison, WI, USA ; Pless, V.S.

Some construction techniques for self-dual codes are investigated, and the authors construct a singly-even self-dual [48,24,10]-code with a weight enumerator that was not known to be attainable. It is shown that there exists a singly-even self-dual code C' of length n =48 and minimum weight d=10 whose weight enumerator is prescribed in the work of J.H. Conway et al. (see ibid., vol.36, no.5, p.1319-33, 1990). Two self-dual codes of length n are called neighbors, provided their intersection is a code of dimension (n/2)-1. The code C' is a neighbor of the extended quadratic residue code of length 48

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Information Theory, IEEE Transactions on  (Volume:37 ,  Issue: 4 )