Structures of Constacyclic Codes of Length 2p^s over Finite Fields

dc.contributor	紀文鎮	zh_TW
dc.contributor	Chi, Wen-Chen	en_US
dc.contributor.author	洪崇峰	zh_TW
dc.contributor.author	Hung, Chung-Feng	en_US
dc.date.accessioned	2019-09-05T01:05:29Z
dc.date.available	2015-08-13
dc.date.available	2019-09-05T01:05:29Z
dc.date.issued	2015
dc.description.abstract	無中文摘要	zh_TW
dc.description.abstract	We first recall the algebraic structures of constacyclic codes. Then, we describe constacyclic codes by finding their generator polynomials, and we also give a way to find the dual codes of constacyclic codes as well as to discuss the conditions of existence of self-dual codes of cyclic and negacyclic codes of length 2p^s over F_p^m. Finally, we give structures of all constacyclic codes of length 2p^s over F_p^m via isomorphisms between cyclic codes, negacyclic codes and constacyclic codes.	en_US
dc.description.sponsorship	數學系	zh_TW
dc.identifier	G060140029S
dc.identifier.uri	http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060140029S%22.&%22.id.&
dc.identifier.uri	http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101519
dc.language	英文
dc.subject	finite fields	zh_TW
dc.subject	constacyclic codes	zh_TW
dc.subject	dual codes	zh_TW
dc.subject	polynomial generators	zh_TW
dc.subject	finite fields	en_US
dc.subject	constacyclic codes	en_US
dc.subject	dual codes	en_US
dc.subject	polynomial generators	en_US
dc.title	Structures of Constacyclic Codes of Length 2p^s over Finite Fields	zh_TW
dc.title	Structures of Constacyclic Codes of Length 2p^s over Finite Fields	en_US

Files

Now showing 1 - 1 of 1