Abstract
In this paper, we describe an exhaustive computer search for all the translation planes of order 49. The search uses the well-known correspondence between translation planes of order 49 and spreads of lines inPG(3,7). We conclude that there are exactly 1347 translation planes of order 49, and give some of their properties including group sizes and 7-ranks.
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Communicated by: D. Jungnickel
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Mathon, R., Royle, G.F. The translation planes of order 49. Des Codes Crypt 5, 57–72 (1995). https://doi.org/10.1007/BF01388504
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DOI: https://doi.org/10.1007/BF01388504