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https://hdl.handle.net/10356/103520| Title: | Polyadic Constacyclic Codes | Authors: | Chen, Bocong Dinh, Hai Quang Fan, Yun Ling, San |
Keywords: | DRNTU::Science::Mathematics::Applied mathematics::Information theory Polyadic constacyclic code p-adic valuation |
Issue Date: | 2015 | Source: | Chen, B., Dinh, H. Q., Fan, Y., & Ling, S. (2015). Polyadic constacyclic codes. IEEE transactions on information theory, 61(9), 4895 - 4904. | Series/Report no.: | IEEE transactions on information theory | Abstract: | For any given positive integer m, a necessary and sufficient condition for the existence of Type-I m-adic constacyclic codes is given. Further, for any given integer s, a necessary and sufficient condition for s to be a multiplier of a Type-I polyadic constacyclic code is given. As an application, some optimal codes from Type-I polyadic constacyclic codes, including generalized Reed-Solomon codes and alternant MDS codes, are constructed. | URI: | https://hdl.handle.net/10356/103520 http://hdl.handle.net/10220/38325 |
ISSN: | 0018-9448 | DOI: | 10.1109/TIT.2015.2451656 | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [http://dx.doi.org/10.1109/TIT.2015.2451656]. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
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| polyadic constacyclic code.pdf | 461.21 kB | Adobe PDF |  View/Open |
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