Factoring cyclotomic polynomials over large finite fields

Finite Fields and Applications ◽

10.1017/cbo9780511525988.026 ◽

1996 ◽

pp. 349-354 ◽

Author(s):

Greg Stein

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials

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Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields

Finite Fields and Their Applications ◽

10.1016/j.ffa.2006.03.002 ◽

2007 ◽

Vol 13 (3) ◽

pp. 492-515 ◽

Author(s):

Robert W. Fitzgerald ◽

Joseph L. Yucas

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Dickson Polynomials ◽

Polynomials Over Finite Fields

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Explicit factorizations of cyclotomic polynomials over finite fields

Designs Codes and Cryptography ◽

10.1007/s10623-016-0224-5 ◽

2016 ◽

Vol 83 (1) ◽

pp. 197-217 ◽

Author(s):

Hongfeng Wu ◽

Li Zhu ◽

Rongquan Feng ◽

Siman Yang

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Polynomials Over Finite Fields

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EXPLICIT FACTORIZATION OF CYCLOTOMIC POLYNOMIALS OVER FINITE FIELDS

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v86i3.12 ◽

2013 ◽

Vol 86 (3) ◽

Author(s):

O.R. Devi ◽

Th.R. Chanu

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Polynomials Over Finite Fields

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Explicit factorizations of generalized Dickson polynomials of order 2 via generalized cyclotomic polynomials over finite fields

Finite Fields and Their Applications ◽

10.1016/j.ffa.2015.11.003 ◽

2016 ◽

Vol 38 ◽

pp. 40-56 ◽

Author(s):

Cemile Tosun

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Dickson Polynomials ◽

Polynomials Over Finite Fields

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On explicit factors of cyclotomic polynomials over finite fields

Designs Codes and Cryptography ◽

10.1007/s10623-011-9537-6 ◽

2011 ◽

Vol 63 (1) ◽

pp. 87-104 ◽

Author(s):

Liping Wang ◽

Qiang Wang

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Polynomials Over Finite Fields

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Explicit factors of generalized cyclotomic polynomials and generalized Dickson polynomials of order 2m3 over finite fields

Discrete Mathematics ◽

10.1016/j.disc.2019.111618 ◽

2019 ◽

Vol 342 (12) ◽

pp. 111618

Author(s):

Cemile Tosun

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Dickson Polynomials

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Composed products and factors of cyclotomic polynomials over finite fields

Designs Codes and Cryptography ◽

10.1007/s10623-012-9647-9 ◽

2012 ◽

Vol 69 (2) ◽

pp. 203-231 ◽

Author(s):

Aleksandr Tuxanidy ◽

Qiang Wang

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Polynomials Over Finite Fields

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On the Reducibility of Cyclotomic Polynomials over Finite Fields

American Mathematical Monthly ◽

10.1080/00029890.2007.11920475 ◽

2007 ◽

Vol 114 (9) ◽

pp. 813-818 ◽

Author(s):

Brett A. Harrison

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Polynomials Over Finite Fields

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EXPLICIT FACTORIZATION OF CYCLOTOMIC POLYNOMIALS OVER FINITE FIELDS II

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v105i2.2 ◽

2015 ◽

Vol 105 (2) ◽

Author(s):

O.R. Devi ◽

T.R. Chanu

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Polynomials Over Finite Fields

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On multiplicative order of elements in finite fields based on cyclotomic polynomials

Notes on Number Theory and Discrete Mathematics ◽

10.7546/nntdm.2020.26.2.47-52 ◽

2020 ◽

Vol 26 (2) ◽

pp. 47-52

Author(s):

Roman Popovych ◽

Keyword(s):

Finite Fields ◽

Cyclotomic Polynomials ◽

Multiplicative Order ◽

Order Of Elements

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