On Elliptic Semiplanes, an Algebraic Problem in Matrix Theory, and Weight Enumeration of Certain Binary Cyclic Codes

On Elliptic Semiplanes, an Algebraic Problem in Matrix Theory, and Weight Enumeration of Certain Binary Cyclic Codes

<p>An elliptic semiplane is a λ-fold of a symmetric 2-(v,k,λ) design, where parallelism is transitive. We prove existence and uniqueness of a 3-fold cover of a 2-(15,7,3) design, and give several constructions. Then we prove that the automorphism group is 3.Alt(7). The corresponding bipartite...

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Bibliographic Details
Main Author: Schroeder, Brian Leroy
Format: Others
Published: 2010
Online Access:https://thesis.library.caltech.edu/5330/1/paper.pdf
Schroeder, Brian Leroy (2010) On Elliptic Semiplanes, an Algebraic Problem in Matrix Theory, and Weight Enumeration of Certain Binary Cyclic Codes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/84VV-S966. https://resolver.caltech.edu/CaltechTHESIS:10262009-141148765 <https://resolver.caltech.edu/CaltechTHESIS:10262009-141148765>

Internet

https://thesis.library.caltech.edu/5330/1/paper.pdf
Schroeder, Brian Leroy (2010) On Elliptic Semiplanes, an Algebraic Problem in Matrix Theory, and Weight Enumeration of Certain Binary Cyclic Codes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/84VV-S966. https://resolver.caltech.edu/CaltechTHESIS:10262009-141148765 <https://resolver.caltech.edu/CaltechTHESIS:10262009-141148765>

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