On zeta functions of some linear codes
Date of Publication
2007
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Defense Panel Chair
Jose Tristan F. Reyes
Defense Panel Member
Arlene A. Pascasio
Mark Anthony A. Garcia
Abstract/Summary
This paper is about weight distribution of a code and zeta polynomials. Some computations and examples were provided to illustrate the zeta polynomial and the weight enumerator of some binary linear codes. Moreover, a program was used to show the zeta polynomial and weight enumerator of some Hamming codes, Reed-Muller Codes, Golay Codes and Extended Golay Codes. A theorem was used to further discuss and relate weight enumerators of a binary code and its dual code. Fundamental terms and concepts on codes and linear algebra were included to make it easy for the readers to understand coding theory.
Abstract Format
html
Language
English
Format
Accession Number
TU14189
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
53, 16 leaves : ill.
Keywords
Functions, Zeta; Coding theory
Recommended Citation
Genil, V., & Ramiro, D. (2007). On zeta functions of some linear codes. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17474
