New classes of permutation binomials and permutation trinomials over finite fields

Finite Fields and Their Applications ◽

10.1016/j.ffa.2016.09.002 ◽

2017 ◽

Vol 43 ◽

pp. 69-85 ◽

Author(s):

Kangquan Li ◽

Longjiang Qu ◽

Xi Chen

Keyword(s):

Finite Fields ◽

Permutation Trinomials

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Permutation polynomials of the form cx + Tr q l / q ( x a ) $cx+\text {Tr}_{q^{l}/ q}(x^{a})$ and permutation trinomials over finite fields with even characteristic

Cryptography and Communications ◽

10.1007/s12095-017-0236-7 ◽

2017 ◽

Vol 10 (3) ◽

pp. 531-554 ◽

Author(s):

Kangquan Li ◽

Longjiang Qu ◽

Xi Chen ◽

Chao Li

Keyword(s):

Finite Fields ◽

Permutation Polynomials ◽

Permutation Trinomials

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Some new classes of permutation trinomials over finite fields with even characteristic

Finite Fields and Their Applications ◽

10.1016/j.ffa.2016.05.004 ◽

2016 ◽

Vol 41 ◽

pp. 89-96 ◽

Author(s):

Rohit Gupta ◽

R.K. Sharma

Keyword(s):

Finite Fields ◽

Permutation Trinomials

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Determination of a type of permutation trinomials over finite fields, II

Finite Fields and Their Applications ◽

10.1016/j.ffa.2015.03.002 ◽

2015 ◽

Vol 35 ◽

pp. 16-35 ◽

Author(s):

Xiang-dong Hou

Keyword(s):

Finite Fields ◽

Permutation Trinomials

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A class of permutation trinomials over finite fields

Acta Arithmetica ◽

10.4064/aa162-1-3 ◽

2014 ◽

Vol 162 (1) ◽

pp. 51-64 ◽

Author(s):

Xiang-dong Hou

Keyword(s):

Finite Fields ◽

Permutation Trinomials

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A class of permutation trinomials over finite fields of odd characteristic

Cryptography and Communications ◽

10.1007/s12095-018-0307-4 ◽

2018 ◽

Vol 11 (4) ◽

pp. 563-583 ◽

Author(s):

Ziran Tu ◽

Xiangyong Zeng

Keyword(s):

Finite Fields ◽

Permutation Trinomials

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Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic

Finite Fields and Their Applications ◽

10.1016/j.ffa.2020.101754 ◽

2020 ◽

Vol 68 ◽

pp. 101754

Author(s):

Lijing Zheng ◽

Haibin Kan ◽

Jie Peng

Keyword(s):

Finite Fields ◽

Niho Exponents ◽

Permutation Trinomials

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Further results on permutation trinomials over finite fields with even characteristic

Finite Fields and Their Applications ◽

10.1016/j.ffa.2016.11.011 ◽

2017 ◽

Vol 45 ◽

pp. 43-52 ◽

Author(s):

Zhengbang Zha ◽

Lei Hu ◽

Shuqin Fan

Keyword(s):

Finite Fields ◽

Permutation Trinomials

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Permutation Trinomials Over Finite Fields with Even Characteristic

SIAM Journal on Discrete Mathematics ◽

10.1137/140960153 ◽

2015 ◽

Vol 29 (1) ◽

pp. 79-92 ◽

Author(s):

Cunsheng Ding ◽

Longjiang Qu ◽

Qiang Wang ◽

Jin Yuan ◽

Pingzhi Yuan

Keyword(s):

Finite Fields ◽

Permutation Trinomials

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A conjecture on permutation trinomials over finite fields of characteristic two

Advances in Mathematics of Communications ◽

10.3934/amc.2019031 ◽

2019 ◽

Vol 13 (3) ◽

pp. 505-512

Author(s):

Nian Li ◽

◽

Qiaoyu Hu ◽

Keyword(s):

Finite Fields ◽

Characteristic Two ◽

Permutation Trinomials

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New permutation trinomials from Niho exponents over finite fields with even characteristic

Cryptography and Communications ◽

10.1007/s12095-018-0321-6 ◽

2018 ◽

Vol 11 (1) ◽

pp. 129-136 ◽

Author(s):

Nian Li ◽

Tor Helleseth

Keyword(s):

Finite Fields ◽

Niho Exponents ◽

Permutation Trinomials

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