Characterizations of plateaued functions in arbitrary characteristic

Date

2015-11-05

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Mesnager, Sihem
Özbudak, Ferruh
Sınak, Ahmet

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https://hdl.handle.net/11511/76992

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Characterizations of Partially Bent and Plateaued Functions over Finite Fields Mesnager, Sihem; Özbudak, Ferruh; SINAK, AHMET (2018-12-30) Partially bent and plateaued functions over finite fields have significant applications in cryptography, sequence theory, coding theory, design theory and combinatorics. They have been extensively studied due to their various desirable cryptographic properties. In this paper, we study on characterizations of partially bent and plateaued functions over finite fields, with the aim of clarifying their structure. We first redefine the notion of partially bent functions over any finite field Fq , with q a prim...
Characterization of plateaued functions in arbitrary characteristic Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet (2015-11-02)
Characterizations of Riesz spaces with b-property Alpay, Safak; ERCAN, ZAFER (Springer Science and Business Media LLC, 2009-02-01) A Riesz space E is said to have b-property if each subset which is order bounded in E(similar to similar to) is order bounded in E. The relationship between b-property and completeness, being a retract and the absolute weak topology vertical bar sigma vertical bar (E(similar to), E) is studied. Perfect Riesz spaces are characterized in terms of b-property. It is shown that b-property coincides with the Levi property in Dedekind complete Frechet lattices.
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Citation Formats

S. Mesnager, F. Özbudak, and A. Sınak, “Characterizations of plateaued functions in arbitrary characteristic,” 2015, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/76992.