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Dimensions of Some Binary Codes Arising From A Conic in PG(2,q)
[article]

2009
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arXiv
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pre-print

Let O be a conic in the classical projective plane PG(2,q), where q is an odd prime power. With respect to O, the lines of PG(2,q) are classified as passant, tangent, and secant lines, and the points of PG(2,q) are classified as internal, absolute and external points. The incidence matrices between the secant/passant lines and the external/internal points were used in keith1 to produce several classes of structured low-density parity-check binary codes. In particular, the authors of keith1 gave

arXiv:0911.2018v1
fatcat:qissstvervbvzgshmrxcd4sxmm