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Interactions between Group Theory, Symmetry and Cryptology



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Autore: González Vasco María Isabel Visualizza persona
Titolo: Interactions between Group Theory, Symmetry and Cryptology Visualizza cluster
Pubblicazione: MDPI - Multidisciplinary Digital Publishing Institute, 2020
Descrizione fisica: 1 electronic resource (164 p.)
Soggetto non controllato: NP-Completeness
protocol compiler
post-quantum cryptography
Reed–Solomon codes
key equation
euclidean algorithm
permutation group
t-modified self-shrinking generator
ideal cipher model
algorithms in groups
lightweight cryptography
generalized self-shrinking generator
numerical semigroup
pseudo-random number generator
symmetry
pseudorandom permutation
Berlekamp–Massey algorithm
semigroup ideal
algebraic-geometry code
non-commutative cryptography
provable security
Engel words
block cipher
cryptography
beyond birthday bound
Weierstrass semigroup
group theory
braid groups
statistical randomness tests
group-based cryptography
alternating group
WalnutDSA
Sugiyama et al. algorithm
cryptanalysis
digital signatures
one-way functions
key agreement protocol
error-correcting code
group key establishment
Sommario/riassunto: 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.
Titolo autorizzato: Interactions between Group Theory, Symmetry and Cryptology  Visualizza cluster
ISBN: 3-03928-803-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910404086703321
Lo trovi qui: Univ. Federico II
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