University of Sarajevo

SEMINARIO DE ÁLGEBRA

Conferenciante: Amela Muratović-Ribić

Abstract: In cryptology and coding theory, strings are viewed as elements of vector space \(\mathbb{Z}_2^n\). Given is definition of Boolean function and its directional derivative. It is important for cryptology as it is a basis for so called differential cryptoanalysis. If function is as far as possible from the lieanr function it is called perfect nonliner and it is equivalent with bent functions. In Bollean case equvivalent is almost perfect nonlinear function. In cryptology these are used for a construction of S-boxes and in coding theory for construction of the codes with a spefific minimal distance. We will give introductionary lecture on bent functions and vectorial bent abd the most important of its constructions.

SEMINARIO DE ÁLGEBRA

Conferenciante: Amela Muratović-Ribić

Abstract: We will show a lot of pictures of Bosnia and Herzegovina and Sarajevo, with a short overview of University of Sarajevo. We will introduce Latin squares, orthogonal Latin squares and Knut Vic designs with applications, over finite groups and later over finite fields. We will define a complete mapping which is used for construction of the orthogonal Latin squares and we will give many constructions of strong complete mappings used for construction of Knut Vic designs.