03772nam 2200769z- 450 9910404086703321202102113-03928-803-2(CKB)4100000011302271(oapen)https://directory.doabooks.org/handle/20.500.12854/50457(oapen)doab50457(EXLCZ)99410000001130227120202102d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierInteractions between Group Theory, Symmetry and CryptologyMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (164 p.)3-03928-802-4 Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.algebraic-geometry codealgorithms in groupsalternating groupBerlekamp-Massey algorithmbeyond birthday boundblock cipherbraid groupscryptanalysiscryptographydigital signaturesEngel wordserror-correcting codeeuclidean algorithmgeneralized self-shrinking generatorgroup key establishmentgroup theorygroup-based cryptographyideal cipher modelkey agreement protocolkey equationlightweight cryptographynon-commutative cryptographyNP-Completenessnumerical semigroupone-way functionspermutation grouppost-quantum cryptographyprotocol compilerprovable securitypseudo-random number generatorpseudorandom permutationReed-Solomon codessemigroup idealstatistical randomness testsSugiyama et al. algorithmsymmetryt-modified self-shrinking generatorWalnutDSAWeierstrass semigroupGonzález Vasco María Isabelauth1246436BOOK9910404086703321Interactions between Group Theory, Symmetry and Cryptology3032109UNINA