Algebro geometric methods in coding theory
| buir.advisor | Klyachko, Alexander A. | |
| dc.contributor.author | Özen, İbrahim | |
| dc.date.accessioned | 2016-01-08T20:19:22Z | |
| dc.date.available | 2016-01-08T20:19:22Z | |
| dc.date.issued | 1999 | |
| dc.department | Department of Mathematics | en_US |
| dc.description | Ankara : Department of Mathematics and Institute of Engineering and Sciences, Bilkent University, 1999. | en_US |
| dc.description | Thesis(Master's) -- Bilkent University, 1999. | en_US |
| dc.description | Includes bibliographical references leaves 55. | en_US |
| dc.description.abstract | In this work, we studied a class of codes that, as a subspace, satisfy a certain condition for (semi)stability. We obtained the Poincare polynomial of the nonsingular projective variety which is formed by the equivalence classes of such codes having coprime code length n and number of information symbols k. We gave a lower bound for the minimum distance parameter d of the semistable codes. We show that codes having transitive automorphism group or those corresponding to point configurations having irreducible automorphism group are (semi)stable. Also a mass formula for classes of stable codes with coprime n and k is obtained. For the asymptotic case, where n and k tend to infinity while their ratio ^ is seperated both from 0 and 1, we show that all codes are stable. | en_US |
| dc.description.degree | M.S. | en_US |
| dc.description.statementofresponsibility | Özen, İbrahim | en_US |
| dc.format.extent | viii, 55 leaves | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/18441 | |
| dc.language.iso | English | en_US |
| dc.publisher | Bilkent University | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Linear code | en_US |
| dc.subject | variety | en_US |
| dc.subject | moduli sapce | en_US |
| dc.subject | stability | en_US |
| dc.subject | point configuration | en_US |
| dc.subject.lcc | QA268 .O94 1999 | en_US |
| dc.subject.lcsh | Coding theory. | en_US |
| dc.subject.lcsh | Number theory. | en_US |
| dc.subject.lcsh | Geometry,Algebraic. | en_US |
| dc.title | Algebro geometric methods in coding theory | en_US |
| dc.type | Thesis | en_US |
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