The Number of Irreducible Polynomials Over Finite Fields With Vanishing Trace and Reciprocal Trace
| dc.contributor.author | Cakiroglu, Yagmur | |
| dc.contributor.author | Yayla, Oguz | |
| dc.contributor.author | Yilmaz, Emrah Sercan | |
| dc.date.accessioned | 2024-07-05T15:24:27Z | |
| dc.date.available | 2024-07-05T15:24:27Z | |
| dc.date.issued | 2022-08-09 | |
| dc.description | YAYLA, Oguz/0000-0001-8945-2780 | en_US |
| dc.description.abstract | We present the formula for the number of monic irreducible polynomials of degree n over the finite field F-q where the coefficients of x(n)(-1) and x vanish for n >= 3. In particular, we give a relation between rational points of algebraic curves over finite fields and the number of elements a is an element of F-qn for which Trace(a) = 0 and Trace(a(-1)) = 0. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBITAK) [116R026]; Middle East Technical University [10795]; TUBITAK [117F274] | en_US |
| dc.description.sponsorship | We would like to express our gratitude to the reviewers for their valuable comments, which improved the paper. Yamur Cakrolu was supported by the Scientific and Technological Research Council of Turkey (TUBITAK) under the project number 116R026. Ouz Yayla was supported by Middle East Technical University with the project number 10795. Emrah Sercan Ylmaz was supported by TUBITAK under the project number 117F274. | en_US |
| dc.description.sponsorship | Orta Doğu Teknik Üniversitesi, (10795, 117F274); Orta Doğu Teknik Üniversitesi; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK, (116R026); Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK | |
| dc.identifier.doi | 10.1007/s10623-022-01088-2 | |
| dc.identifier.issn | 0925-1022 | |
| dc.identifier.issn | 1573-7586 | |
| dc.identifier.scopus | 2-s2.0-85135858517 | |
| dc.identifier.uri | https://doi.org/10.1007/s10623-022-01088-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2435 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Designs, Codes and Cryptography | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Irreducible polynomials | en_US |
| dc.subject | Finite fields | en_US |
| dc.subject | Trace function | en_US |
| dc.subject | Algebraic curves | en_US |
| dc.title | The Number of Irreducible Polynomials Over Finite Fields With Vanishing Trace and Reciprocal Trace | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | YAYLA, Oguz/0000-0001-8945-2780 | |
| gdc.author.id | Çakıroğlu, Yağmur/0000-0003-0869-4230 | |
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| gdc.author.wosid | YAYLA, Oguz/AAZ-7675-2020 | |
| gdc.author.wosid | YILMAZ, EMRAH/AAD-7483-2020 | |
| gdc.author.wosid | Çakıroğlu, Yağmur/ABF-9214-2021 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Cakiroglu, Yagmur] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey; [Yayla, Oguz] Middle East Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey; [Yilmaz, Emrah Sercan] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey | en_US |
| gdc.description.endpage | 2417 | en_US |
| gdc.description.issue | 10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2407 | en_US |
| gdc.description.volume | 90 | en_US |
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| gdc.oaire.keywords | Computer Science - Cryptography and Security | |
| gdc.oaire.keywords | Mathematics - Number Theory | |
| gdc.oaire.keywords | Computer Science - Information Theory | |
| gdc.oaire.keywords | Information Theory (cs.IT) | |
| gdc.oaire.keywords | FOS: Mathematics | |
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| gdc.oaire.keywords | Number Theory (math.NT) | |
| gdc.oaire.keywords | Cryptography and Security (cs.CR) | |
| gdc.oaire.keywords | algebraic curves | |
| gdc.oaire.keywords | irreducible polynomials | |
| gdc.oaire.keywords | Polynomials over finite fields | |
| gdc.oaire.keywords | Curves over finite and local fields | |
| gdc.oaire.keywords | finite fields | |
| gdc.oaire.keywords | trace function | |
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