Bent Functions With $2^r$ Niho Exponents
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Publication:3547940
DOI10.1109/TIT.2006.885464zbMath1177.94157MaRDI QIDQ3547940
Gregor Leander, Alexander Kholosha
Publication date: 21 December 2008
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Related Items (22)
Several classes of Boolean functions with few Walsh transform values ⋮ Further constructions of infinite families of bent functions from new permutations and their duals ⋮ A survey on the applications of Niho exponents ⋮ On Existence (Based on an Arithmetical Problem) and Constructions of Bent Functions ⋮ Two infinite classes of rotation symmetric bent functions with simple representation ⋮ A class of binary cyclic codes with generalized Niho exponents ⋮ Bent functions and line ovals ⋮ Relation between o-equivalence and EA-equivalence for Niho bent functions ⋮ A secondary construction and a transformation on rotation symmetric functions, and their action on bent and semi-bent functions ⋮ Hyperovals and bent functions ⋮ Several classes of Niho type Boolean functions with few Walsh transform values ⋮ A new class of bent and hyper-bent Boolean functions in polynomial forms ⋮ Four decades of research on bent functions ⋮ On semi-bent functions with Niho exponents ⋮ On Dillon's class \(H\) of bent functions, Niho bent functions and o-polynomials ⋮ A construction of hyperbent functions with polynomial trace form ⋮ A new class of monomial bent functions ⋮ A class of hyper-bent functions and Kloosterman sums ⋮ On constructions and properties of \((n,m)\)-functions with maximal number of bent components ⋮ Constructing vectorial bent functions via second-order derivatives ⋮ Equivalence classes of Niho bent functions ⋮ Bent Functions, Spreads, and o-Polynomials
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