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http://hdl.handle.net/1942/2020
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DC Field | Value | Language |
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dc.contributor.author | OOMS, Alfons | - |
dc.contributor.author | QIU, Weisheng | - |
dc.date.accessioned | 2007-11-09T22:46:18Z | - |
dc.date.available | 2007-11-09T22:46:18Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | ALGEBRA COLLOQUIUM, 12(4). p. 635-644 | - |
dc.identifier.issn | 1005-3867 | - |
dc.identifier.uri | http://hdl.handle.net/1942/2020 | - |
dc.description.abstract | In this paper, we prove that a binary sequence is perfect (resp., quasi-perfect) if and only if its support set for any finite group (not necessarily cyclic) is a Hadamard difference set of type I (resp., type II); and we prove that the kernel of any nonzero linear functional (or the image of any linear transformation A with dim(Ker A) = 1) on the linear space GF(2(m)) over the field GF(2(m)) (excluding 0) is a cyclic Hadamard difference set of type II using Gaussian sums; and we prove that the multiplier group of the above difference set is equal to the Galois group Gal(GF(2(m))/GF(2)); and we mention the relationship between the Hadamard transform and the irreducible complex characters. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject.other | quasi-perfect sequence; difference set; character; Hadamard transform; multiplier group | - |
dc.title | Quasi-perfect sequences and Hadamard difference sets | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 644 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 635 | - |
dc.identifier.volume | 12 | - |
local.format.pages | 10 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Univ Limburg, Dept Math, B-3590 Diepenbeek, Belgium. Peking Univ, Dept Math, LMAM, Beijing 100871, Peoples R China.Ooms, AI, Univ Limburg, Dept Math, B-3590 Diepenbeek, Belgium.alfons.ooms@luc.ac.be qiuws@pku.edu.cn | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.isi | 000233566600011 | - |
dc.identifier.url | http://www.worldscinet.com/cgi-bin/details.cgi?id=jsname:ac&type=all | - |
item.contributor | OOMS, Alfons | - |
item.contributor | QIU, Weisheng | - |
item.validation | ecoom 2006 | - |
item.fulltext | No Fulltext | - |
item.fullcitation | OOMS, Alfons & QIU, Weisheng (2005) Quasi-perfect sequences and Hadamard difference sets. In: ALGEBRA COLLOQUIUM, 12(4). p. 635-644. | - |
item.accessRights | Closed Access | - |
crisitem.journal.issn | 1005-3867 | - |
crisitem.journal.eissn | 0219-1733 | - |
Appears in Collections: | Research publications |
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