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Topological Authentication Technique In Topologically Asymmetric Cryptosystem | | Bing Yao
; Jing Su
; Fei Ma
; Hongyu Wang
; Chao Yang
; | | Date: |
8 Feb 2022 | | Abstract: | Making topological authentication from theory to practical application is an
important and challenging task. More and more researchers pay attention on
coming quantum computation, privacy data protection, lattices and cryptography.
Research show the advantages of topological authentications through graph
operations, various matrices, graph colorings and graph labelings are: related
with two or more different mathematical areas, be not pictures, there are huge
number of colorings and labelings, rooted on modern mathematics, diversity of
asymmetric ciphers, simplicity and convenience, easily created,
irreversibility, computational security, provable security, and so on.
Topological authentications based on various graph homomorphisms,
degree-sequence homomorphisms, graph-set homomorphisms. Randomly topological
coding and topological authentications are based on Hanzi authentication,
randomly adding-edge-removing operation, randomly leaf-adding algorithms, graph
random increasing techniques, operation graphic lattice and dynamic networked
models and their spanning trees and maximum leaf spanning trees. Realization of
topological authentication is an important topic, we study: number-based
strings generated from colored graphs, particular graphs (complete graphs,
trees, planar graphs), some methods of generating public-keys. some techniques
of topologically asymmetric cryptosystem are: W-type matching labelings,
dual-type labelings, reciprocal-type labelings, topological homomorphisms,
indexed colorings, graphic lattices, degree-sequence lattices, every-zero
Cds-matrix groups of degree-sequences, every-zero graphic groups, graphic
lattices having coloring closure property, self-similar networked lattices. | | Source: | arXiv, 2202.03993 | | Services: | Forum | Review | PDF | Favorites | |
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