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Family of two-dimensional correcting codes on a basis of perfect binary array

✍ Scribed by P. E. Baranov; M. I. Mazurkov; V. Ya. Chechelnytskyi; A. A. Yakovenko


Book ID
111497722
Publisher
Allerton Press, Inc.
Year
2009
Tongue
English
Weight
68 KB
Volume
52
Category
Article
ISSN
0735-2727

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There exist Steiner triple systems of or
✍ Patric R. J. Γ–stergΓ₯rd; Olli Pottonen πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 74 KB πŸ‘ 1 views

## Abstract The codewords at distance three from a particular codeword of a perfect binary one‐error‐correcting code (of length 2^m^βˆ’1) form a Steiner triple system. It is a longstanding open problem whether every Steiner triple system of order 2^m^βˆ’1 occurs in a perfect code. It turns out that thi