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The Geometry of The Line of Order Seventeen and its Application to Error-Correcting Codes | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 24, Issue 5, 2013, Pages 217-230 | ||
| Author | ||
| J.W.P. Hirschfeld | ||
| Abstract | ||
| The main of this paper is to classify certain geometric structures, called k-sets, in a particular setting, namely the projective line of order seventeen PG(1,17). The basic tool is the fundamental theorem of projective geometry; there is a unique projectivity of the projective line transforming three points to any three other points. Each of these k-sets gives rise to an error-correcting code that corrects the maximum possible number of errors for its length. | ||
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