2025-02-23T03:49:57-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22oai%3Aojs.admjournal.luguniv.edu.ua%3Aarticle-1062%22&qt=morelikethis&rows=5
2025-02-23T03:49:57-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22oai%3Aojs.admjournal.luguniv.edu.ua%3Aarticle-1062%22&qt=morelikethis&rows=5
2025-02-23T03:49:57-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T03:49:57-05:00 DEBUG: Deserialized SOLR response
On elements of high order in general finite fields
We show that the Gao's construction gives for any finite field \(F_{q^{n}}\) elements with the multiplicative order at least \(\binom{n+t-1}{t}\prod _{i=0}^{t-1}\frac{1}{d^{i}}\), where \(d=\left\lceil 2\log _{q} n\right\rceil\), \(\;t=\left\lfloor \log _{d} n\right\rfloor\).
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| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1062 |
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2025-02-23T03:49:57-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&rows=40&rows=5&wt=json&json.nl=arrarr&q=id%3A%22oai%3Aojs.admjournal.luguniv.edu.ua%3Aarticle-1062%22&qt=morelikethis
2025-02-23T03:49:57-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&rows=40&rows=5&wt=json&json.nl=arrarr&q=id%3A%22oai%3Aojs.admjournal.luguniv.edu.ua%3Aarticle-1062%22&qt=morelikethis
2025-02-23T03:49:57-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T03:49:57-05:00 DEBUG: Deserialized SOLR response