00000ctm a22000004i 4500 UP-99796217611779117 Buklod 20150922091324.0 m |o d | ta 150922s2010 xx d r |||| u| (iLib)UPD-00249807728 DARCHIVES rda eng DMLUC LG 995 2010 M38 O33 Ocampo, Aldrin author. On Euclidean self-dual extended split group codes Aldrin Ocampo. Quezon City College of Science, University of the Philippines 2010. iii, 40 leaves text rdacontent unmediated rdamedia volume rdacarrier Thesis (M.S.Mathematics)--University of the Philippines Diliman 2010. Split group codes are a generalization of an important class of cyclic codes called duadic codes. In this thesis, we characterize all Euclidean self-orthogonal group codes in F [G*], where F is a finite field and G* is the dual of a finite abelian group G. We also show that group codes in F [G*], where F = ϝq2, whose extension by a suitable parity-check coordinate are self-dual, precisely the split group cords in F [G*] for some splitting of G over Z = {0} by -1. Morover, we show that such extended group codes exist if or dr (q) = 2 (mod 4) for every divisor r of the exponent of G. Euclidean algorithm. Cyclic compounds. FI UP UPD DARCHIVES LG 995 2010 M38 O33 Thesis