On Alltop functions

Date

2017-07-08

Author

Hamidli, Fuad
Özbudak, Ferruh

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https://hdl.handle.net/11511/76868

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On alltop functions Hamidli, Fuad; Özbudak, Ferruh; Department of Cryptography (2017) Let q be a power of an odd prime p and let Fq be a ﬁnite ﬁeld. A map f is called planar on Fq if for any a ∈ F? q, the diﬀerence map (or derivative of f at a point a) Da(x) = f(x + a)− f(x) is bijective. The deﬁnition of Alltop function is that, the diﬀerencemapatpointainthegivenﬁeldofoddcharacteristicisitselfplanarforany a ∈ F∗ q. Alltop functions have special importance in cryptography and related areas. For example, they are used to construct mutually unbiased bases (MUB) in quantum information theory. T...
On Alltop Functions Hamidli, Fuad; Özbudak, Ferruh (null; 2018-10-01)
On locally finite groups generated by sylow subgroups and groups of finite rank Mut, Öznur; Kuzucuoğlu, Mahmut; Department of Mathematics (2003)
On L-, M-Weakly Compact and Rank-One Operators Alpay, Safak (2013-07-26) The finite rank, L-and M-weakly compact operators are studied. The inclusion of these classes with one another and with the weak Dunford-Pettis, almost Dunford-Pettis and b-weakly compact operators as well as the effect of these inclusions to the order structure of spaces serving as range or domain are examined.
On bounded and unbounded operators Uyanık, Elif; Yurdakul, Murat Hayrettin; Department of Mathematics (2017) In this thesis we study on bounded and unbounded operators and obtain some results by considering $ell$-K"{o}the spaces. As a beginning, we introduce some necessary and sufficient conditions for a Cauchy Product map on a smooth sequence space to be continuous and linear and we consider its transpose. We use the modified version of Zahariuta's method to obtain analogous results for isomorphic classification of Cartesian products of K"{o}the spaces. We also investigate the SCBS property and show that all sepa...

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F. Hamidli and F. Özbudak, “On Alltop functions,” 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/76868.