Abstract
Strongly regular (α, β)-reguli are a class of incidence structures with given conditions which were introduced by Hamilton and Mathon. We introduce two classes of codes constructed from strongly regular (α, β)-reguli within PG(k − 1, q). The codes are related with two-weight codes intimately.
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References
Semakov N V, Zinoviev V A, Zaitsev G V. Uniformly packed codes [J]. Probl Peredachi Inf, 1971, 7(1): 38–50.
Hamilton N, Mathon R. Strongly regular (α, β)-geometries [J]. J Comb Theory Ser A, 2001, 95: 234–250.
Bruen A A, Silverman R. On extendable planes, MDS codes and hyperovals in PG(2, q), q = 2t [J]. Geom Dedicata, 1988, 28: 31–43.
Alderson T L. (n, 3)q Bruen-silverman codes [C]//Proceedings of the 28th APICS Conference. New Brunswick: [s.n.], 2004: 15–17.
Alderson T L, Bruen A A, Silverman R. Maximum distance separable codes and arcs in projective spaces [J]. J Comb Theory Ser A, 2007, 114: 1101–1117.
Calderbank R, Kantor W M. The geometry of two-weight codes [J]. Bull London Math Soc, 1986, 18: 97–122.
Brouwer A E, van Eupen M. The correspondence between projective codes and 2-weight codes [J]. Des Codes Cryptogr, 1997, 11: 261–266.
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Foundation item: the Scientific Research Start-up Foundation of Qingdao University of Science and Technology in China (No. 0022327)
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Li, Xl. Codes from strongly regular (α, β)-reguli. J. Shanghai Jiaotong Univ. (Sci.) 13, 491–494 (2008). https://doi.org/10.1007/s12204-008-0491-z
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DOI: https://doi.org/10.1007/s12204-008-0491-z