Editorial: Special issue on Boolean functions and their applications

Lilya Budaghyan, Tor Helleseth, Alexander Kholosha
2015 Cryptography and Communications  
The notion of a Boolean function was introduced in the second half of the nineteenth century in the context of fundamental mathematics and mathematical logic. It was named after George Boole (1815-1864), an English mathematician, who was one of the founders of mathematical logic. Since the middle of the twentieth century, with the rapid development of information and communication technology, Boolean function theory has been an important tool for solving problems of analysis and synthesis of
more » ... crete devices which transform and process information. In particular, many cryptographic problems are formulated in terms of Boolean functions and Boolean function techniques are essential for solving these problems. In September 2014 we invited leading specialists from eleven different countries all over the world to the International Workshop on Boolean Functions and Their Applications BFA 2014 which took place in Rosendal, Norway 1 . The participants presented talks highlighting recent results in the field which covered various applications of Boolean functions including coding, cryptography, combinatorics, commutative algebra and algebraic geometry. After the workshop all participants of BFA 2014 were invited to submit a paper to this special issue of the Journal "Cryptography and Communications". All received submissions were thoroughly reviewed using the high reviewing standard of this journal and the following seven papers in this volume are the end results of the selection process. 1 Information on BFA 2014 can be found on the workshop webpage http://www.people.uib.no/lbu061/BFA2014.html L.
doi:10.1007/s12095-015-0171-4 fatcat:cfmfqa4c5nbazibs4qshj4nsoi