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Computing Linear Codes and Unitals (1998)

Jaffe, David B. ; Tonchev, Vladimir D.

Springer

Designs, codes and cryptography 14 (1998), S. 39-52

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ISSN: 1573-7586

Keywords: linear code ; combinatorial design ; unital ; self-orthogonal code ; doubly-even code

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract The 2-rank of any 2-(28,4,1) design (unital on 28 points) is known to be between 19 and 27. It is shown by the enumeration and analysis of certain binary linear codes that there are no unitals of 2-rank 20, and that there are exactly 4 isomorphism classes of unitals of 2-rank 21. Combined with previous results, this completes the classification of unitals on 28 points of 2-rank less than 22.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1008204420606

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