Generalized bent functions with large dimension

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Boolean functions (06E30) Boolean functions (94D10)

Cites Work

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On the dual of (non)-weakly regular bent functions and self-dual bent functions
A construction of weakly and non-weakly regular bent functions
Generalized bent functions and their properties
Decompositions of vector spaces over GF(2) into disjoint equidimensional affine spaces
The graph of minimal distances of bent functions and its properties
A construction of bent functions from plateaued functions
Several new infinite families of bent functions via second order derivatives
Constructing new superclasses of bent functions from known ones
Bent partitions
Constructions of (vectorial) bent functions outside the completed Maiorana-McFarland class
A survey on \(p\)-ary and generalized bent functions
Generalized bent functions into \(\mathbb{Z}_{p^k}\) from the partial spread and the Maiorana-McFarland class
Bent and \(\mathbb{Z}_{2^k}\)-bent functions from spread-like partitions
A new method for secondary constructions of vectorial bent functions
Generalized Maiorana-McFarland class and normality of \(p\)-ary bent functions
Generalized semifield spreads
There Are Infinitely Many Bent Functions for Which the Dual Is Not Bent
Monomial and quadratic bent functions over the finite fields of odd characteristic
Generalized Plateaued Functions and Admissible (Plateaued) Functions
Generic Construction of Bent Functions and Bent Idempotents With Any Possible Algebraic Degrees
Decomposing Generalized Bent and Hyperbent Functions
Full Characterization of Generalized Bent Functions as (Semi)-Bent Spaces, Their Dual, and the Gray Image
Further Results on Generalized Bent Functions and Their Complete Characterization
Two New Classes of Bent Functions
Quaternary Constant-Amplitude Codes for Multicode CDMA
On the Duals of Generalized Bent Functions
Enumeration of the bent functions of least deviation from a quadratic bent function
Complete Characterization of Generalized Bent and 2^k-Bent Boolean Functions
Bent Partitions and Partial Difference Sets

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