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COMBINATORICS
2007
59views more  COMBINATORICS 2007»
14 years 10 months ago
New Optimal Constant Weight Codes
In 2006, Smith et al. published a new table of constant weight codes, updating existing tables originally created by Brouwer et al. This paper improves upon these results by fill...
Igor Gashkov, D. Taub
CORR
2011
Springer
188views Education» more  CORR 2011»
14 years 4 months ago
Primitive words and roots of words
In the algebraic theory of codes and formal languages, the set Q of all primitive words over some alphabet Σ has received special interest. With this survey article we give an ove...
Gerhard Lischke
COMBINATORICS
2000
82views more  COMBINATORICS 2000»
14 years 9 months ago
The Strongly Regular (40, 12, 2, 4) Graphs
In a previous paper it was established that there are at least 27 non-isomorphic strongly regular (40, 12, 2, 4) graphs. Using a different and more efficient method we have re-inv...
Edward Spence
COMBINATORICS
2004
90views more  COMBINATORICS 2004»
14 years 9 months ago
Strings with Maximally Many Distinct Subsequences and Substrings
A natural problem in extremal combinatorics is to maximize the number of distinct subsequences for any length-n string over a finite alphabet ; this value grows exponentially, but...
Abraham Flaxman, Aram Wettroth Harrow, Gregory B. ...
COMBINATORICS
2007
64views more  COMBINATORICS 2007»
14 years 10 months ago
An Analogue of the Thue-Morse Sequence
We consider the finite binary words Z(n), n ∈ N, defined by the following selfsimilar process: Z(0) := 0, Z(1) := 01, and Z(n + 1) := Z(n) · Z(n − 1), where the dot · deno...
Emmanuel Ferrand