DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, Chengju | ko |
dc.contributor.author | Yue, Qin | ko |
dc.contributor.author | Bae, Sunghan | ko |
dc.date.accessioned | 2014-08-29T04:17:29Z | - |
dc.date.available | 2014-08-29T04:17:29Z | - |
dc.date.created | 2014-06-03 | - |
dc.date.created | 2014-06-03 | - |
dc.date.issued | 2014-06 | - |
dc.identifier.citation | ALGEBRA COLLOQUIUM, v.21, no.2, pp.275 - 283 | - |
dc.identifier.issn | 1005-3867 | - |
dc.identifier.uri | http://hdl.handle.net/10203/189041 | - |
dc.description.abstract | In this paper, we construct some cyclic division algebras (K/F,sigma,gamma). We obtain a necessary and sufficient condition of a non-norm element gamma provided that F = Q and K is a subfield of a cyclotomic field Q(zeta p(u)), where pisaprime and zeta p(u) is a p(u) th primitive root of unity. As an application for space time block codes, we alsoconstruct cyclic division algebras (K/F, sigma, gamma), where F = Q(i), i root-1, K is a subfield of Q (zeta 4p(u)) or Q (zeta 4p(1)(u)p(2)(v)) , and gamma = 1+i. Moreover, we describe all cyclic division algebras (K/F, sigma, gamma) such that F = Q(i), K is a subfield of L = Q(zeta 4p(1)(u)p(2)(v)) and gamma = 1+i, where [K : F] = phi(p(1)(u)p(2)(v))/d, d = 2 or 4, phi is the Euler totient function, and p(1), p(2) <= 100 are distinct odd primes. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | Cyclic Division Algebras with Non-norm Elements | - |
dc.type | Article | - |
dc.identifier.wosid | 000334733400010 | - |
dc.identifier.scopusid | 2-s2.0-84940269173 | - |
dc.type.rims | ART | - |
dc.citation.volume | 21 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 275 | - |
dc.citation.endingpage | 283 | - |
dc.citation.publicationname | ALGEBRA COLLOQUIUM | - |
dc.identifier.doi | 10.1142/S1005386714000236 | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Bae, Sunghan | - |
dc.contributor.nonIdAuthor | Li, Chengju | - |
dc.contributor.nonIdAuthor | Yue, Qin | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | non-norm element | - |
dc.subject.keywordAuthor | cyclic division algebra | - |
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