On construction and (non)existence of c-(almost) perfect nonlinear functions
Daniele Bartoli, Marco Calderini
2021Institutional Research Information System (Università degli Studi di Trento)36 citationsDOIOpen Access PDF
Abstract
Functions with low differential uniformity have relevant applications in cryptography. Recently, functions with low c-differential uniformity attracted lots of attention. In particular, so-called APcN and PcN functions (generalization of APN and PN functions) have been investigated. Here, we provide a characterization of such functions via quadratic polynomials as well as non-existence results.
Topics & Concepts
MathematicsGeneralizationCharacterization (materials science)Nonlinear systemDifferential (mechanical device)CryptographyQuadratic equationQuadratic differentialPure mathematicsApplied mathematicsDiscrete mathematicsMathematical analysisAlgorithmPhysicsGeometryAerospace engineeringMaterials scienceNanotechnologyQuantum mechanicsEngineeringCoding theory and cryptographyCryptographic Implementations and Securitygraph theory and CDMA systems