Göloğlu, Faruk Classification of \((q,q)\)-biprojective APN functions. (English) Zbl 07820106 IEEE Trans. Inf. Theory 69, No. 3, 1988-1999 (2023). MSC: 94-XX PDFBibTeX XMLCite \textit{F. Göloğlu}, IEEE Trans. Inf. Theory 69, No. 3, 1988--1999 (2023; Zbl 07820106) Full Text: DOI arXiv
Göloğlu, Faruk; Kölsch, Lukas An exponential bound on the number of non-isotopic commutative semifields. (English) Zbl 1519.12008 Trans. Am. Math. Soc. 376, No. 3, 1683-1716 (2023). Reviewer: Norbert Knarr (Stuttgart) MSC: 12K10 17A35 51A35 51A40 PDFBibTeX XMLCite \textit{F. Göloğlu} and \textit{L. Kölsch}, Trans. Am. Math. Soc. 376, No. 3, 1683--1716 (2023; Zbl 1519.12008) Full Text: DOI arXiv
Göloğlu, Faruk Biprojective almost perfect nonlinear functions. (English) Zbl 1505.11151 IEEE Trans. Inf. Theory 68, No. 7, 4750-4760 (2022). MSC: 11T71 94D10 PDFBibTeX XMLCite \textit{F. Göloğlu}, IEEE Trans. Inf. Theory 68, No. 7, 4750--4760 (2022; Zbl 1505.11151) Full Text: DOI
Göloğlu, Faruk Classification of fractional projective permutations over finite fields. (English) Zbl 1522.11122 Finite Fields Appl. 81, Article ID 102027, 50 p. (2022). MSC: 11T06 PDFBibTeX XMLCite \textit{F. Göloğlu}, Finite Fields Appl. 81, Article ID 102027, 50 p. (2022; Zbl 1522.11122) Full Text: DOI
Göloğlu, Faruk; Kölsch, Lukas Counting the number of non-isotopic Taniguchi semifields. arXiv:2207.13497 Preprint, arXiv:2207.13497 [math.CO] (2022). BibTeX Cite \textit{F. Göloğlu} and \textit{L. Kölsch}, ``Counting the number of non-isotopic Taniguchi semifields'', Preprint, arXiv:2207.13497 [math.CO] (2022) Full Text: arXiv OA License
Göloğlu, Faruk; Pavlů, Jiří On CCZ-inequivalence of some families of almost perfect nonlinear functions to permutations. (English) Zbl 1495.11145 Cryptogr. Commun. 13, No. 3, 377-391 (2021). MSC: 11T71 94A60 11T06 PDFBibTeX XMLCite \textit{F. Göloğlu} and \textit{J. Pavlů}, Cryptogr. Commun. 13, No. 3, 377--391 (2021; Zbl 1495.11145) Full Text: DOI
Göloğlu, Faruk; Kölsch, Lukas; Kyureghyan, Gohar; Perrin, Léo On subspaces of Kloosterman zeros and permutations of the form \(L_1(x^{-1})+L_2(x)\). (English) Zbl 1521.11072 Bajard, Jean Claude (ed.) et al., Arithmetic of finite fields. 8th international workshop, WAIFI 2020, Rennes, France, July 6–8, 2020. Revised selected and invited papers. Cham: Springer. Lect. Notes Comput. Sci. 12542, 207-221 (2021). MSC: 11T06 11L05 11T23 11T71 PDFBibTeX XMLCite \textit{F. Göloğlu} et al., Lect. Notes Comput. Sci. 12542, 207--221 (2021; Zbl 1521.11072) Full Text: DOI arXiv
Göloğlu, Faruk; Kölsch, Lukas Equivalences of biprojective almost perfect nonlinear functions. arXiv:2111.04197 Preprint, arXiv:2111.04197 [math.CO] (2021). BibTeX Cite \textit{F. Göloğlu} and \textit{L. Kölsch}, ``Equivalences of biprojective almost perfect nonlinear functions'', Preprint, arXiv:2111.04197 [math.CO] (2021) Full Text: arXiv OA License
Göloğlu, Faruk Inverse function is not component-wise uniform. (English) Zbl 1469.94252 Cryptogr. Commun. 12, No. 6, 1179-1194 (2020). MSC: 94D10 05B10 11T71 PDFBibTeX XMLCite \textit{F. Göloğlu}, Cryptogr. Commun. 12, No. 6, 1179--1194 (2020; Zbl 1469.94252) Full Text: DOI
Göloğlu, Faruk; Langevin, Philippe Almost perfect nonlinear families which are not equivalent to permutations. (English) Zbl 1459.94112 Finite Fields Appl. 67, Article ID 101707, 21 p. (2020). MSC: 94A60 94A55 11T71 05A05 PDFBibTeX XMLCite \textit{F. Göloğlu} and \textit{P. Langevin}, Finite Fields Appl. 67, Article ID 101707, 21 p. (2020; Zbl 1459.94112) Full Text: DOI
Göloğlu, Faruk; Joux, Antoine A simplified approach to rigorous degree 2 elimination in discrete logarithm algorithms. (English) Zbl 1473.11227 Math. Comput. 88, No. 319, 2485-2496 (2019). MSC: 11Y16 11T71 PDFBibTeX XMLCite \textit{F. Göloğlu} and \textit{A. Joux}, Math. Comput. 88, No. 319, 2485--2496 (2019; Zbl 1473.11227) Full Text: DOI
Göloğlu, Faruk; Krasnayová, Dáša Proofs of several conjectures on linear codes from Boolean functions. (English) Zbl 1417.94101 Discrete Math. 342, No. 2, 572-583 (2019). MSC: 94B05 11T71 PDFBibTeX XMLCite \textit{F. Göloğlu} and \textit{D. Krasnayová}, Discrete Math. 342, No. 2, 572--583 (2019; Zbl 1417.94101) Full Text: DOI
Ahmadi, Omran; Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Yilmaz, Emrah Sercan Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients. (English) Zbl 1364.12008 Finite Fields Appl. 42, 128-164 (2016). MSC: 12Y05 14H25 PDFBibTeX XMLCite \textit{O. Ahmadi} et al., Finite Fields Appl. 42, 128--164 (2016; Zbl 1364.12008) Full Text: DOI arXiv
Göloğlu, Faruk Almost perfect nonlinear trinomials and hexanomials. (English) Zbl 1368.11128 Finite Fields Appl. 33, 258-282 (2015). MSC: 11T06 11T71 PDFBibTeX XMLCite \textit{F. Göloğlu}, Finite Fields Appl. 33, 258--282 (2015; Zbl 1368.11128) Full Text: DOI
Göloğlu, Faruk; Lember, Jüri; Riet, Ago-Erik; Skachek, Vitaly New Bounds for Permutation Codes in Ulam Metric. arXiv:1504.05100 Preprint, arXiv:1504.05100 [cs.IT] (2015). BibTeX Cite \textit{F. Göloğlu} et al., ``New Bounds for Permutation Codes in Ulam Metric'', Preprint, arXiv:1504.05100 [cs.IT] (2015) Full Text: arXiv OA License
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens Solving a 6120-bit DLP on a desktop computer. (English) Zbl 1321.11125 Lange, Tanja (ed.) et al., Selected areas in cryptography – SAC 2013. 20th international conference, Burnaby, BC, Canada, August 14–16, 2013. Revised selected papers. Berlin: Springer (ISBN 978-3-662-43413-0/pbk; 978-3-662-43414-7/ebook). Lecture Notes in Computer Science 8282, 136-152 (2014). MSC: 11Y16 11T71 94A60 PDFBibTeX XMLCite \textit{F. Göloğlu} et al., Lect. Notes Comput. Sci. 8282, 136--152 (2014; Zbl 1321.11125) Full Text: DOI
Göloğlu, Faruk; McGuire, Gary On theorems of Carlitz and Payne on permutation polynomials over finite fields with an application to \(x^{-1}+L(x)\). (English) Zbl 1318.11159 Finite Fields Appl. 27, 130-142 (2014). MSC: 11T06 11T24 PDFBibTeX XMLCite \textit{F. Göloğlu} and \textit{G. McGuire}, Finite Fields Appl. 27, 130--142 (2014; Zbl 1318.11159) Full Text: DOI
Bracken, Carl; Göloğlu, Faruk A non-cyclic triple-error-correcting BCH-like code and some minimum distance results. (English) Zbl 1333.94065 Des. Codes Cryptography 72, No. 2, 317-330 (2014). MSC: 94B15 94B65 PDFBibTeX XMLCite \textit{C. Bracken} and \textit{F. Göloğlu}, Des. Codes Cryptography 72, No. 2, 317--330 (2014; Zbl 1333.94065) Full Text: DOI
Gologlu, Faruk APN trinomials and hexanomials. arXiv:1411.2981 Preprint, arXiv:1411.2981 [math.NT] (2014). BibTeX Cite \textit{F. Gologlu}, ``APN trinomials and hexanomials'', Preprint, arXiv:1411.2981 [math.NT] (2014) Full Text: arXiv OA License
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens On the function field sieve and the impact of higher splitting probabilities. Application to discrete logarithms in \(\mathbb{F}_{2^{1971}}\) and \(\mathbb{F}_{2^{3164}}\). (English) Zbl 1316.11114 Canetti, Ran (ed.) et al., Advances in cryptology – CRYPTO 2013. 33rd annual cryptology conference, Santa Barbara, CA, USA, August 18–22, 2013. Proceedings, Part II. Berlin: Springer (ISBN 978-3-642-40083-4/pbk). Lecture Notes in Computer Science 8043, 109-128 (2013). MSC: 11Y16 11T71 94A60 PDFBibTeX XMLCite \textit{F. Göloğlu} et al., Lect. Notes Comput. Sci. 8043, 109--128 (2013; Zbl 1316.11114) Full Text: DOI
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard Some congruences of Kloosterman sums and their characteristic polynomials. (English) Zbl 1300.11083 J. Number Theory 133, No. 5, 1596-1607 (2013). MSC: 11L05 11T23 PDFBibTeX XMLCite \textit{F. Göloğlu} et al., J. Number Theory 133, No. 5, 1596--1607 (2013; Zbl 1300.11083) Full Text: DOI
Göloğlu, Faruk; Lisoněk, Petr; McGuire, Gary; Moloney, Richard Binary Kloosterman sums modulo 256 and coefficients of the characteristic polynomial. (English) Zbl 1365.11126 IEEE Trans. Inf. Theory 58, No. 4, 2516-2523 (2012). MSC: 11T23 94C10 PDFBibTeX XMLCite \textit{F. Göloğlu} et al., IEEE Trans. Inf. Theory 58, No. 4, 2516--2523 (2012; Zbl 1365.11126) Full Text: DOI
Göloğlu, Faruk A note on “Differential properties of \(x\mapsto x^{2^t-1}\)”. (English) Zbl 1364.11138 IEEE Trans. Inf. Theory 58, No. 11, 6986-6988 (2012). MSC: 11L05 94A60 PDFBibTeX XMLCite \textit{F. Göloğlu}, IEEE Trans. Inf. Theory 58, No. 11, 6986--6988 (2012; Zbl 1364.11138) Full Text: DOI
Göloğlu, F. Ternary Kloosterman sums modulo 4. (English) Zbl 1309.11087 Finite Fields Appl. 18, No. 1, 160-166 (2012). MSC: 11T24 11L05 11A07 PDFBibTeX XMLCite \textit{F. Göloğlu}, Finite Fields Appl. 18, No. 1, 160--166 (2012; Zbl 1309.11087) Full Text: DOI
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard Binary Kloosterman sums using Stickelberger’s theorem and the Gross-Koblitz formula. (English) Zbl 1242.11060 Acta Arith. 148, No. 3, 269-279 (2011). Reviewer: Robert Fitzgerald (Carbondale) MSC: 11L05 11T23 PDFBibTeX XMLCite \textit{F. Göloğlu} et al., Acta Arith. 148, No. 3, 269--279 (2011; Zbl 1242.11060) Full Text: DOI arXiv
Göloğlu, Faruk; McGuire, Gary; Moloney, Richard Ternary Kloosterman sums modulo 18 using Stickelberger’s theorem. (English) Zbl 1245.11119 Carlet, Claude (ed.) et al., Sequences and their applications – SETA 2010. 6th international conference, Paris, France, September 13–17, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15873-5/pbk). Lecture Notes in Computer Science 6338, 196-203 (2010). MSC: 11T23 94A55 11L05 PDFBibTeX XMLCite \textit{F. Göloğlu} et al., Lect. Notes Comput. Sci. 6338, 196--203 (2010; Zbl 1245.11119) Full Text: DOI
Gologlu, Faruk; McGuire, Gary; Moloney, Richard Some Congruences of Kloosterman Sums and their Minimal Polynomials. arXiv:1012.0964 Preprint, arXiv:1012.0964 [math.NT] (2010). BibTeX Cite \textit{F. Gologlu} et al., ``Some Congruences of Kloosterman Sums and their Minimal Polynomials'', Preprint, arXiv:1012.0964 [math.NT] (2010) Full Text: arXiv OA License
Gologlu, Faruk; McGuire, Gary; Moloney, Richard Ternary Kloosterman sums using Stickelberger’s theorem and the Gross-Koblitz formula. arXiv:1006.1802 Preprint, arXiv:1006.1802 [math.NT] (2010). MSC: 11L05 BibTeX Cite \textit{F. Gologlu} et al., ``Ternary Kloosterman sums using Stickelberger's theorem and the Gross-Koblitz formula'', Preprint, arXiv:1006.1802 [math.NT] (2010) Full Text: arXiv OA License
Göloglu, Faruk; Pott, Alexander Consequences of the multiplier conjecture to the existence of Hadamard difference sets. (English) Zbl 1270.05022 J. Comb. Inf. Syst. Sci. 34, No. 1-4, 223-231 (2009). MSC: 05B10 PDFBibTeX XMLCite \textit{F. Göloglu} and \textit{A. Pott}, J. Comb. Inf. Syst. Sci. 34, No. 1--4, 223--231 (2009; Zbl 1270.05022)
Göloğlu, Faruk; Pott, Alexander Results on the crosscorrelation and autocorrelation of sequences. (English) Zbl 1206.94030 Golomb, Solomon W. (ed.) et al., Sequences and their applications – SETA 2008. 5th international conference, Lexington, KY, USA, September 14–18, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-85911-6/pbk). Lecture Notes in Computer Science 5203, 95-105 (2008). MSC: 94A55 PDFBibTeX XMLCite \textit{F. Göloğlu} and \textit{A. Pott}, Lect. Notes Comput. Sci. 5203, 95--105 (2008; Zbl 1206.94030) Full Text: DOI
Doğanaksoy, Ali; Göloğlu, Faruk On Lempel-Ziv complexity of sequences. (English) Zbl 1152.94378 Gong, Guang (ed.) et al., Sequences and their applications – SETA 2006. 4th international conference, Beijing, China, September 24–28, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-44523-4/pbk). Lecture Notes in Computer Science 4086, 180-189 (2006). MSC: 94A55 68Q30 94A60 PDFBibTeX XMLCite \textit{A. Doğanaksoy} and \textit{F. Göloğlu}, Lect. Notes Comput. Sci. 4086, 180--189 (2006; Zbl 1152.94378) Full Text: DOI Link