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Article: The linear complexity of whiteman's generalized cyclotomic sequences of period p {m+1}q n+1
Title | The linear complexity of whiteman's generalized cyclotomic sequences of period p {m+1}q n+1 |
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Authors | |
Keywords | Generalized Cyclotomic Number Linear Complexity |
Issue Date | 2012 |
Publisher | I E E E. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?puNumber=18 |
Citation | IEEE Transactions on Information Theory, 2012, v. 58 n. 8, p. 5534-5543 How to Cite? |
Abstract | In this paper, we mainly get three results. First, let p, q be distinct primes with \gcd ((p-1)p,(q-1)q)=\gcd (p-1,q-1)=e ; we give a method to compute the linear complexity of Whiteman's generalized cyclotomic sequences of period p^{m+1}q n+1. Second, if e=4, we compute the exact linear complexity of Whiteman's generalized cyclotomic sequences. Third, if p \equiv q \equiv 5∼({\rm mod}∼8), \gcd (p-1, q-1)=4, and we fix a common primitive root g of both p and q, then 2\in H-{0}=(g), which is a subgroup of the multiplicative group Z-{pq} \ast, if and only if Whiteman's generalized cyclotomic numbers of order 4 depend on the decomposition pq=a^{2}+4b 2 with 4\vert b. © 1963-2012 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/175531 |
ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 1.607 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hu, L | en_US |
dc.contributor.author | Yue, Q | en_US |
dc.contributor.author | Wang, M | en_US |
dc.date.accessioned | 2012-11-26T08:59:05Z | - |
dc.date.available | 2012-11-26T08:59:05Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | IEEE Transactions on Information Theory, 2012, v. 58 n. 8, p. 5534-5543 | en_US |
dc.identifier.issn | 0018-9448 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/175531 | - |
dc.description.abstract | In this paper, we mainly get three results. First, let p, q be distinct primes with \gcd ((p-1)p,(q-1)q)=\gcd (p-1,q-1)=e ; we give a method to compute the linear complexity of Whiteman's generalized cyclotomic sequences of period p^{m+1}q n+1. Second, if e=4, we compute the exact linear complexity of Whiteman's generalized cyclotomic sequences. Third, if p \equiv q \equiv 5∼({\rm mod}∼8), \gcd (p-1, q-1)=4, and we fix a common primitive root g of both p and q, then 2\in H-{0}=(g), which is a subgroup of the multiplicative group Z-{pq} \ast, if and only if Whiteman's generalized cyclotomic numbers of order 4 depend on the decomposition pq=a^{2}+4b 2 with 4\vert b. © 1963-2012 IEEE. | en_US |
dc.language | eng | en_US |
dc.publisher | I E E E. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?puNumber=18 | en_US |
dc.relation.ispartof | IEEE Transactions on Information Theory | en_US |
dc.subject | Generalized Cyclotomic Number | en_US |
dc.subject | Linear Complexity | en_US |
dc.title | The linear complexity of whiteman's generalized cyclotomic sequences of period p {m+1}q n+1 | en_US |
dc.type | Article | en_US |
dc.identifier.email | Wang, M: magwang@hku.hk | en_US |
dc.identifier.authority | Wang, M=rp00967 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/TIT.2012.2196254 | en_US |
dc.identifier.scopus | eid_2-s2.0-84863936920 | en_US |
dc.identifier.hkuros | 203256 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-84863936920&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 58 | en_US |
dc.identifier.issue | 8 | en_US |
dc.identifier.spage | 5534 | en_US |
dc.identifier.epage | 5543 | en_US |
dc.identifier.isi | WOS:000306518600036 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Hu, L=54949492300 | en_US |
dc.identifier.scopusauthorid | Yue, Q=7005528517 | en_US |
dc.identifier.scopusauthorid | Wang, M=8723779700 | en_US |
dc.identifier.issnl | 0018-9448 | - |