Vectorial Boolean functions are used in cryptography, in particular
in block ciphers. An important condition on these functions is a
high resistance to differential and linear cryptanalysis, which are
the main attacks on block ciphers. The functions which possess the
best resistance to the differential attack are called almost
perfect nonlinear (APN). Almost bent (AB) functions are those
mappings which oppose an optimum resistance to both linear and
differential attacks. Before this work, only a few classes of APN
and AB functions had been known and all these classes happened to
be extended affine equivalent (EA- equivalent) to power functions.
In this work we construct the first classes of APN and AB
polynomials EA-inequivalent to power mappings by using the
equivalence relation of functions (which we call CCZ-equivalence)
introduced by Carlet, Charpin and Zinoviev (1998). Then the
constructed APN and AB functions are used to solve other related
problems.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!