| ID | 60873 |
| FullText URL | |
| Author |
Chinen, Koji
Department of Mathematics, School of Science and Engineering, Kindai University
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| Abstract | In this note, we establish an analog of the Mallows-Sloane bound for Type III formal weight enumerators. This completes the bounds for all types (Types I through IV) in synthesis of our previous results. Next we show by using the binomial moments that there exists a family of polynomials divisible by three, which are not related to linear codes but are invariant under the MacWilliams transform for the value 3/2. We also discuss some properties of the zeta functions for such polynomials.
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| Keywords | Binomial moment
Divisible code
Invariant polynomial ring
Zeta function for codes
Riemann hypothesis
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| Note | Mathematics Subject Classification. Primary 11T71; Secondary 13A50, 12D10.
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| Published Date | 2021-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume63
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 175
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| End Page | 182
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright©2021 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol63/iss1/11
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