Interactions between Group Theory, Symmetry and Cryptology

Interactions between Group Theory, Symmetry and Cryptology

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 algebra...

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Bibliographic Details
Main Author: González Vasco, María Isabel (auth)
Format: Book Chapter
Published: MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
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
Online Access:Get Fullteks
DOAB: description of the publication
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