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Michelle Davidson - Skew k-arc and codes



MICHELLE DAVIDSON, Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Manitoba  R3T 2N2, Canada
Skew k-arc and codes


In the projective geometry $\textrm{PG}(m,2)$ of dimension m over $\textrm{GF}(2)$,we define a skew k-arc S to be a set of k points such that there are at most two points of each line in S, and the diagonals of any 4 points in S do not meet. I will discuss the relationship between skew k-arcs and linear binary codes. Special attention is paid to the situation where the code has minimum distance 5.



eo@camel.math.ca