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Perfect Constant-Weight Codes
Journal article

Perfect Constant-Weight Codes

Abstract

In his pioneering work from 1973, Delsarte conjectured that there are no nontrivial perfect codes in the Johnson scheme. Many attempts were made, during the years which followed, to prove Delsarte's conjecture, but only partial results have been obtained. We survey all these attempts, and prove some new results having the same flavor. We also present a new method, taking a different approach, which we hope can lead to the settling of this …

Authors

Etzion T; Schwartz M

Journal

IEEE Transactions on Information Theory, Vol. 50, No. 9, pp. 2156–2165

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Publication Date

September 2004

DOI

10.1109/tit.2004.833355

ISSN

0018-9448