On zeta functions of some linear codes
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...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2007
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/17474 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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