Author Type

Graduate Student

Date of Award

1979

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Thesis/Dissertation Advisor [Chair]

Hoffman, Frederick

Abstract

Properties of Goppa codes are studied. These are "good" codes in the sense that they asymptotically approach the Varshamov-Gilbert bound. E. N. Gilbert and R. R. Varshamov have shown (independently) that it is possible to construct an (n, k) linear code over GF(q) with minimum distance d if [equation] and there are long Goppa codes which achieve this bound [10]. Subclasses of Goppa codes which remain invariant under symmetries are given special attention.

Extent

88 p.

Comments

Charles E. Schmidt College of Science|Thesis (M.S.)--Florida Atlantic University, 1979.|FAU Electronic Theses and Dissertations Collection|Charles E. Schmidt College of Science

Identifier

FADT13989

Format

pdf

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