Differential spectrum of some power functions in odd prime characteristic

DOI10.1016/j.ffa.2013.01.002zbMath1272.11135OpenAlexW2095066562MaRDI QIDQ1946681

Jong-Seon No, Sung-Tai Choi, Habong Chung, Seokbeom Hong

Publication date: 15 April 2013

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2013.01.002

zbMATH Keywords

power functiondifferential spectrumcyclotomic classalmost perfect nonlinearperfect nonlinearodd prime characteristic

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cryptography (94A60) Finite fields (field-theoretic aspects) (12E20) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60)

Related Items (14)

Differential and boomerang spectrums of some power permutations ⋮ On the \(c\)-differential spectrum of power functions over finite fields ⋮ Differential spectrum of a class of APN power functions ⋮ Two classes of power mappings with boomerang uniformity 2 ⋮ On the differential spectrum of a differentially 3-uniform power function ⋮ New results on permutation polynomials of the form \((x^{{p}^{m}} - x + \delta)^s + x^{p^m} + x\) over \(\mathbb F_{p^{2m}}\) ⋮ On a class of APN power functions over odd characteristic finite fields: their differential spectrum and \(c\)-differential properties ⋮ The differential spectrum and boomerang spectrum of a class of locally-APN functions ⋮ The differential spectrum of a ternary power mapping ⋮ The differential spectrum of a class of power functions over finite fields ⋮ Differential spectra of a class of power permutations with characteristic 5 ⋮ On the differential properties of the power mapping \(x^{p^m + 2}\) ⋮ A note on the differential spectrum of a class of power mappings with Niho exponent ⋮ Several classes of polynomials with low differential uniformity over finite fields of odd characteristic

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