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1,225 results on '"Sriboonchitta, Songsak"'

6. Explicit representation for a class of Type 2 constacyclic codes over the ring $\mathbb{F}_{2^m}[u]/\langle u^{2\lambda}\rangle$ with even length

Author

Cao, Yuan, Cao, Yonglin, Dinh, Hai Q., Sriboonchitta, Songsak, and Wang, Guidong

Subjects
Computer Science - Information Theory
Abstract

Let $\mathbb{F}_{2^m}$ be a finite field of cardinality $2^m$, $\lambda$ and $k$ be integers satisfying $\lambda,k\geq 2$ and denote $R=\mathbb{F}_{2^m}[u]/\langle u^{2\lambda}\rangle$. Let $\delta,\alpha\in \mathbb{F}_{2^m}^{\times}$. For any odd positive integer $n$, we give an explicit representation and enumeration for all distinct $(\delta+\alpha u^2)$-constacyclic codes over $R$ of length $2^kn$, and provide a clear formula to count the number of all these codes. As a corollary, we conclude that every $(\delta+\alpha u^2)$-constacyclic code over $R$ of length $2^kn$ is an ideal generated by at most $2$ polynomials in the residue class ring $R[x]/\langle x^{2^kn}-(\delta+\alpha u^2)\rangle$., Comment: arXiv admin note: text overlap with arXiv:1805.05595

Published
2019

12. A class of repeated-root constacyclic codes over $\mathbb{F}_{p^m}[u]/\langle u^e\rangle$ of Type $2$

Author

Cao, Yuan, Cao, Yonglin, Dinh, Hai Q., Fu, Fang-Wei, Gao, Jian, and Sriboonchitta, Songsak

Subjects
Computer Science - Information Theory
Abstract

Let $\mathbb{F}_{p^m}$ be a finite field of cardinality $p^m$ where $p$ is an odd prime, $n$ be a positive integer satisfying ${\rm gcd}(n,p)=1$, and denote $R=\mathbb{F}_{p^m}[u]/\langle u^e\rangle$ where $e\geq 4$ be an even integer. Let $\delta,\alpha\in \mathbb{F}_{p^m}^{\times}$. Then the class of $(\delta+\alpha u^2)$-constacyclic codes over $R$ is a significant subclass of constacyclic codes over $R$ of Type 2. For any integer $k\geq 1$, an explicit representation and a complete description for all distinct $(\delta+\alpha u^2)$-constacyclic codes over $R$ of length $np^k$ and their dual codes are given. Moreover, formulas for the number of codewords in each code and the number of all such codes are provided respectively. In particular, all distinct $(\delta+\alpha u^2)$-contacyclic codes over $\mathbb{F}_{p^m}[u]/\langle u^{e}\rangle$ of length $p^k$ and their dual codes are presented precisely.

Published
2018

38. Dependence of Financial Institutions in China: An Analysis Based on FDG Copula Model

Author

Cheng, Yangnan, Liu, Jianxu, Wang, Mengjiao, Sriboonchitta, Songsak, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Huynh, Van-Nam, editor, Entani, Tomoe, editor, Jeenanunta, Chawalit, editor, Inuiguchi, Masahiro, editor, and Yenradee, Pisal, editor

Published
2020
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39. Measurements of the Conditional Dependence Structure Among Carbon, Fossil Energy and Renewable Energy Prices: Vine Copula Based GJR-GARCH Model

Author

Zhou, Yefan, Liu, Jianxu, Sirisrisakulchai, Jirakom, Sriboonchitta, Songsak, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Huynh, Van-Nam, editor, Entani, Tomoe, editor, Jeenanunta, Chawalit, editor, Inuiguchi, Masahiro, editor, and Yenradee, Pisal, editor

Published
2020
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40. Analysis of the Determinants of CO2 Emissions: A Bayesian LASSO Approach

Author

Wang, Heng, Liu, Jianxu, Sriboonchitta, Songsak, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Huynh, Van-Nam, editor, Entani, Tomoe, editor, Jeenanunta, Chawalit, editor, Inuiguchi, Masahiro, editor, and Yenradee, Pisal, editor

Published
2020
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