Computing Linear Codes and Unitals
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 imitais of 2-rank 20, and that there are exactly 4 isomorphism classes of imitais of 2-rank 21. Combined with previous results, this completes the classification of unitals on 28 points of 2-rank less than 22.
Designs, Codes, and Cryptography
Computing Linear Codes and Unitals.
Designs, Codes, and Cryptography,
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