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Google Keyword Rankings for : degree finite field extension
1
https://en.wikipedia.org/wiki/Degree_of_a_field_extension
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https://en.wikipedia.org/wiki/Degree_of_a_field_extension
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2
https://mathworld.wolfram.com/FiniteExtension.html
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https://mathworld.wolfram.com/FiniteExtension.html
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3
https://math.uchicago.edu/~may/VIGRE/VIGRE2009/REUPapers/Moy.pdf
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https://math.uchicago.edu/~may/VIGRE/VIGRE2009/REUPapers/Moy.pdf
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4
https://sites.math.rutgers.edu/~sk1233/courses/finitefields-F19/intro.pdf
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https://sites.math.rutgers.edu/~sk1233/courses/finitefields-F19/intro.pdf
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5
https://link.springer.com/chapter/10.1007/978-3-642-21969-6_12
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https://link.springer.com/chapter/10.1007/978-3-642-21969-6_12
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6
http://www.math.brown.edu/jlubin/sep.pdf
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http://www.math.brown.edu/jlubin/sep.pdf
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7
https://sites.math.washington.edu/~smith/Teaching/504/504.pdf
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https://sites.math.washington.edu/~smith/Teaching/504/504.pdf
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8
https://web.northeastern.edu/dummit/teaching_fa20_5111/fieldthy_2_fields_and_field_extensions_v2.20.pdf
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https://web.northeastern.edu/dummit/teaching_fa20_5111/fieldthy_2_fields_and_field_extensions_v2.20.pdf
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9
https://en.citizendium.org/wiki/Field_extension
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https://en.citizendium.org/wiki/Field_extension
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10
https://www.math.uci.edu/~ndonalds/math120b/4extension.pdf
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https://www.math.uci.edu/~ndonalds/math120b/4extension.pdf
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11
https://mathoverflow.net/questions/219430/completion-of-a-finite-field-extension-is-also-finite
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https://mathoverflow.net/questions/219430/completion-of-a-finite-field-extension-is-also-finite
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12
http://math.ucdenver.edu/~wcherowi/courses/m6406/finflds.pdf
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http://math.ucdenver.edu/~wcherowi/courses/m6406/finflds.pdf
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13
https://math.ou.edu/~cremling/teaching/lecturenotes/alg/ln5.pdf
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https://math.ou.edu/~cremling/teaching/lecturenotes/alg/ln5.pdf
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14
https://mandal.ku.edu/math791/spFteen791/P6Extension.pdf
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https://mandal.ku.edu/math791/spFteen791/P6Extension.pdf
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15
https://conf.math.illinois.edu/Software/magma/text307.html
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https://conf.math.illinois.edu/Software/magma/text307.html
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16
https://jhavaldar.github.io/assets/2017-10-18-fieldtheory1.pdf
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https://jhavaldar.github.io/assets/2017-10-18-fieldtheory1.pdf
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17
https://www.mathcounterexamples.net/a-finite-extension-that-contains-infinitely-many-subfields/
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https://www.mathcounterexamples.net/a-finite-extension-that-contains-infinitely-many-subfields/
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18
http://lagrange.math.siu.edu/Fitzgerald/paper/SNP61.pdf
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http://lagrange.math.siu.edu/Fitzgerald/paper/SNP61.pdf
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19
https://math.berkeley.edu/~giventh/fields.pdf
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https://math.berkeley.edu/~giventh/fields.pdf
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20
https://mathweb.ucsd.edu/~rwon/files/qualprep/fields.pdf
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https://mathweb.ucsd.edu/~rwon/files/qualprep/fields.pdf
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21
https://kconrad.math.uconn.edu/blurbs/galoistheory/finitefields.pdf
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https://kconrad.math.uconn.edu/blurbs/galoistheory/finitefields.pdf
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22
https://math.mit.edu/classes/18.702/summary-apr21.pdf
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https://math.mit.edu/classes/18.702/summary-apr21.pdf
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23
https://doc.sagemath.org/html/en/reference/finite_rings/sage/rings/finite_rings/finite_field_constructor.html
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https://doc.sagemath.org/html/en/reference/finite_rings/sage/rings/finite_rings/finite_field_constructor.html
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24
https://math.hawaii.edu/~tom/old_classes/413notes10.pdf
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https://math.hawaii.edu/~tom/old_classes/413notes10.pdf
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25
https://esirc.emporia.edu/bitstream/handle/123456789/3201/Harrison%201964.pdf?sequence=1
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https://esirc.emporia.edu/bitstream/handle/123456789/3201/Harrison%201964.pdf?sequence=1
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26
https://scholarworks.unr.edu/bitstream/handle/11714/3865/Gomm_unr_0139M_10726.pdf?sequence=1&isAllowed=y
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https://scholarworks.unr.edu/bitstream/handle/11714/3865/Gomm_unr_0139M_10726.pdf?sequence=1&isAllowed=y
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27
http://www.lix.polytechnique.fr/~ionica/IonicaAfricacrypt.pdf
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http://www.lix.polytechnique.fr/~ionica/IonicaAfricacrypt.pdf
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28
http://www.math.rwth-aachen.de/~Max.Neunhoeffer/Teaching/ff/ffchap3.pdf
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http://www.math.rwth-aachen.de/~Max.Neunhoeffer/Teaching/ff/ffchap3.pdf
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29
https://web.math.utk.edu/~finotti/s08/m552/statements.pdf
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https://web.math.utk.edu/~finotti/s08/m552/statements.pdf
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30
http://assets.press.princeton.edu/chapters/s9103.pdf
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http://assets.press.princeton.edu/chapters/s9103.pdf
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31
http://theory.stanford.edu/~dfreeman/cs259c-f11/lectures/finitefields.pdf
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http://theory.stanford.edu/~dfreeman/cs259c-f11/lectures/finitefields.pdf
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32
https://www.chegg.com/flashcards/field-theory-f253d4d3-e4aa-4319-a38a-37b06cf2df30/deck
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https://www.chegg.com/flashcards/field-theory-f253d4d3-e4aa-4319-a38a-37b06cf2df30/deck
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33
https://sites.pitt.edu/~gmc/algebra/galoistheory.pdf
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https://sites.pitt.edu/~gmc/algebra/galoistheory.pdf
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34
https://people.math.harvard.edu/~elkies/M250.04/index.html
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https://people.math.harvard.edu/~elkies/M250.04/index.html
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35
https://people.brandeis.edu/~igusa/Math101aF07/Math101a_notesD2.pdf
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https://people.brandeis.edu/~igusa/Math101aF07/Math101a_notesD2.pdf
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36
https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/Abstract_Algebra%3A_Theory_and_Applications_(Judson)/21%3A_Fields/21.01%3A_Extension_Fields
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https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/Abstract_Algebra%3A_Theory_and_Applications_(Judson)/21%3A_Fields/21.01%3A_Extension_Fields
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37
https://www.diva-portal.org/smash/get/diva2:719170/fulltext01.pdf
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https://www.diva-portal.org/smash/get/diva2:719170/fulltext01.pdf
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38
http://rvirk.com/notes/algebra/fields2.pdf
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http://rvirk.com/notes/algebra/fields2.pdf
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39
https://encyclopediaofmath.org/wiki/Extension_of_a_field
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https://encyclopediaofmath.org/wiki/Extension_of_a_field
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40
https://www.utwente.nl/en/eemcs/sacs/teaching/Thesis/kreeke.pdf
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https://www.utwente.nl/en/eemcs/sacs/teaching/Thesis/kreeke.pdf
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41
https://www.quora.com/Why-is-any-degree-2-field-extension-F-in-K-Galois
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https://www.quora.com/Why-is-any-degree-2-field-extension-F-in-K-Galois
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42
https://www.math.purdue.edu/~sbasu/teaching/fall01/algebra/sol7.pdf
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https://www.math.purdue.edu/~sbasu/teaching/fall01/algebra/sol7.pdf
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43
https://www-users.cse.umn.edu/~garrett/m/algebra/notes/22.pdf
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https://www-users.cse.umn.edu/~garrett/m/algebra/notes/22.pdf
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44
https://arxiv.org/abs/1809.06135
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https://arxiv.org/abs/1809.06135
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45
https://www.math.arizona.edu/~cais/594Page/soln/soln11.pdf
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https://www.math.arizona.edu/~cais/594Page/soln/soln11.pdf
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46
https://www.maths.cam.ac.uk/postgrad/part-iii/files/misc/galoistheory.pdf
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https://www.maths.cam.ac.uk/postgrad/part-iii/files/misc/galoistheory.pdf
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47
https://www.wikiwand.com/en/Degree_of_a_field_extension
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https://www.wikiwand.com/en/Degree_of_a_field_extension
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48
https://projecteuclid.org/ebook/Download?urlid=ndml%2F1175197045&isFullBook=False
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https://projecteuclid.org/ebook/Download?urlid=ndml%2F1175197045&isFullBook=False
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49
https://www.sciencedirect.com/science/article/pii/S1071579714001075
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https://www.sciencedirect.com/science/article/pii/S1071579714001075
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50
https://www.theochem.ru.nl/~pwormer/Knowino/knowino.org/wiki/Field_extension.html
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https://www.theochem.ru.nl/~pwormer/Knowino/knowino.org/wiki/Field_extension.html
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51
https://staff.fnwi.uva.nl/a.l.kret/Galoistheorie/algebra3-H21-H24.pdf
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https://staff.fnwi.uva.nl/a.l.kret/Galoistheorie/algebra3-H21-H24.pdf
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52
https://mdu.ac.in/UpFiles/UpPdfFiles/2021/Jun/4_06-28-2021_11-45-05_Theory%20of%20Field%20Extensions_(20MAT22C1).pdf
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https://mdu.ac.in/UpFiles/UpPdfFiles/2021/Jun/4_06-28-2021_11-45-05_Theory%20of%20Field%20Extensions_(20MAT22C1).pdf
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53
https://www.math.utah.edu/~schwede/math435/HW10Sols.pdf
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https://www.math.utah.edu/~schwede/math435/HW10Sols.pdf
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54
https://www.researchgate.net/publication/225112259_Efficient_Multiplication_in_Finite_Field_Extensions_of_Degree_5
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https://www.researchgate.net/publication/225112259_Efficient_Multiplication_in_Finite_Field_Extensions_of_Degree_5
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55
https://quizlet.com/explanations/questions/mark-each-of-the-following-true-or-false-a-every-finite-extension-of-every-field-f-is-separable-over-19e8630c-0846-47fc-9e92-b78ed4c6f5b0
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https://quizlet.com/explanations/questions/mark-each-of-the-following-true-or-false-a-every-finite-extension-of-every-field-f-is-separable-over-19e8630c-0846-47fc-9e92-b78ed4c6f5b0
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56
https://magma.maths.usyd.edu.au/magma/handbook/text/209
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https://magma.maths.usyd.edu.au/magma/handbook/text/209
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57
https://www.ams.org/tran/2000-352-02/S0002-9947-99-02361-2/S0002-9947-99-02361-2.pdf
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https://www.ams.org/tran/2000-352-02/S0002-9947-99-02361-2/S0002-9947-99-02361-2.pdf
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58
https://www.refaad.com/Files/GLM/GLM-3-3-1.pdf
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https://www.refaad.com/Files/GLM/GLM-3-3-1.pdf
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59
https://www.maths.tcd.ie/~dwilkins/Courses/311/311S3_0708.pdf
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https://www.maths.tcd.ie/~dwilkins/Courses/311/311S3_0708.pdf
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60
https://www.jmilne.org/math/CourseNotes/FT.pdf
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https://www.jmilne.org/math/CourseNotes/FT.pdf
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61
https://faculty.etsu.edu/gardnerr/4127/notes/VI-33.pdf
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https://faculty.etsu.edu/gardnerr/4127/notes/VI-33.pdf
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62
https://www.uvm.edu/~cvincen1/files/teaching/fall2019-math395/hw11.pdf
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https://www.uvm.edu/~cvincen1/files/teaching/fall2019-math395/hw11.pdf
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63
https://libntl.org/doc/tour-ex5.html
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https://libntl.org/doc/tour-ex5.html
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64
http://drp.math.umd.edu/Project-Slides/JosephSummer2018.pdf
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http://drp.math.umd.edu/Project-Slides/JosephSummer2018.pdf
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65
http://www.axiom-developer.org/axiom-website/hyperdoc/axbook/section-8.11.xhtml
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http://www.axiom-developer.org/axiom-website/hyperdoc/axbook/section-8.11.xhtml
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66
https://www.staff.uni-mainz.de/pommeren/Cryptology/Bitblock/GF.pdf
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https://www.staff.uni-mainz.de/pommeren/Cryptology/Bitblock/GF.pdf
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67
https://dec41.user.srcf.net/notes/II_M/galois_theory_def.pdf
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https://dec41.user.srcf.net/notes/II_M/galois_theory_def.pdf
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68
https://www.theses.fr/2021IPPAT013.pdf
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https://www.theses.fr/2021IPPAT013.pdf
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69
https://www.math.uh.edu/~haynes/files/galois2.pdf
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https://www.math.uh.edu/~haynes/files/galois2.pdf
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70
https://sites.math.northwestern.edu/~len/d70/chap8.pdf
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https://sites.math.northwestern.edu/~len/d70/chap8.pdf
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71
https://johnkerl.org/doc/ffcomp.pdf
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https://johnkerl.org/doc/ffcomp.pdf
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72
http://www.math.caltech.edu/~2016-17/3term/ma005c/solutions/Mid_Term_Solution.pdf
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http://www.math.caltech.edu/~2016-17/3term/ma005c/solutions/Mid_Term_Solution.pdf
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73
https://public.csusm.edu/aitken_html/Essays/GaloisTheory/galois_theory_worksheets.pdf
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https://public.csusm.edu/aitken_html/Essays/GaloisTheory/galois_theory_worksheets.pdf
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74
https://hal.inria.fr/hal-01341849v3
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https://hal.inria.fr/hal-01341849v3
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75
http://webhome.auburn.edu/~huanghu/math7320/7320-ch4.pdf
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http://webhome.auburn.edu/~huanghu/math7320/7320-ch4.pdf
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76
https://msp.org/pjm/1953/3-1/pjm-v3-n1-p06-s.pdf
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https://msp.org/pjm/1953/3-1/pjm-v3-n1-p06-s.pdf
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77
https://www.hyperelliptic.org/tanja/teaching/CCI11/online-ff.pdf
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https://www.hyperelliptic.org/tanja/teaching/CCI11/online-ff.pdf
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78
https://libres.uncg.edu/ir/uncw/f/psiodam2006-1.pdf
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https://libres.uncg.edu/ir/uncw/f/psiodam2006-1.pdf
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79
http://www.math.kent.edu/~white/qual/list/field.pdf
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http://www.math.kent.edu/~white/qual/list/field.pdf
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80
https://www.cs.yale.edu/homes/aspnes/pinewiki/FiniteFields.html
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https://www.cs.yale.edu/homes/aspnes/pinewiki/FiniteFields.html
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81
https://www3.nd.edu/~ajorza/courses/m5c-s2013/homeworksol/h02sol.pdf
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https://www3.nd.edu/~ajorza/courses/m5c-s2013/homeworksol/h02sol.pdf
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82
https://www.uni-frankfurt.de/117512835/irreducible-polynomials-over-finite-fields-as-factors-of-sparse-polynomials.pdf
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https://www.uni-frankfurt.de/117512835/irreducible-polynomials-over-finite-fields-as-factors-of-sparse-polynomials.pdf
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83
https://profilpelajar.com/article/Finite_field
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https://profilpelajar.com/article/Finite_field
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84
https://www.zeroknowledgeblog.com/index.php/the-pinocchio-protocol/pairing
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https://www.zeroknowledgeblog.com/index.php/the-pinocchio-protocol/pairing
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85
https://www.usna.edu/Users/math/wdj/_files/documents/maplestuff/finite_fields.html
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https://www.usna.edu/Users/math/wdj/_files/documents/maplestuff/finite_fields.html
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86
https://www.stjosephs.edu.in/upload/pdf_upload/82feae758eabaec2d81f50c064de5a9a.pdf
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https://www.stjosephs.edu.in/upload/pdf_upload/82feae758eabaec2d81f50c064de5a9a.pdf
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87
http://math.iisc.ac.in/~nmi/downloads/3.EFF.pdf
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http://math.iisc.ac.in/~nmi/downloads/3.EFF.pdf
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88
https://eprint.iacr.org/2009/556.pdf
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https://eprint.iacr.org/2009/556.pdf
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89
http://orion.towson.edu/~mzimand/ainternetalg/NotesFiniteFields.pdf
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http://orion.towson.edu/~mzimand/ainternetalg/NotesFiniteFields.pdf
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90
https://www.jstor.org/stable/118055
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https://www.jstor.org/stable/118055
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91
https://ict.iitk.ac.in/wp-content/uploads/CS203-Mathematics-for-Computer-Science-III-Finite-field-Wikipedia-the-free-encyclopedia.pdf
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https://ict.iitk.ac.in/wp-content/uploads/CS203-Mathematics-for-Computer-Science-III-Finite-field-Wikipedia-the-free-encyclopedia.pdf
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92
https://flintlib.org/doc/fq_nmod.html
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https://flintlib.org/doc/fq_nmod.html
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93
http://web.maths.unsw.edu.au/~csg/papers/fpaper.pdf
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http://web.maths.unsw.edu.au/~csg/papers/fpaper.pdf
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