Abstract
A computer search over the words of weight 3 in the code of blocks of a classical Steiner triple system (STS) on 31 points is carried out to classify all STS(31) whose incidence matrix has 2-rank equal to 27, one more than the possible minimum of 26. There is a total of 1239 nonisomorphic STS(31) of 2-rank 27.
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Communicated by V.D. Tonchev.
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Osuna, O.P. There are 1239 Steiner Triple Systems STS(31) of 2-rank 27. Des Codes Crypt 40, 187–190 (2006). https://doi.org/10.1007/s10623-006-0006-6
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DOI: https://doi.org/10.1007/s10623-006-0006-6