Subjects: Physics >> Condensed Matter: Structural, Mechanical and Thermal Properties submitted time 2024-04-22
Abstract: Electron-diffraction patterns with 5-fold rotational symmetry of experimental alloy phases are assumed to be produced by periodic structures. A three-dimensional periodic structures is presented based on two kind polyhedrons. These structures can be used as an atomic model to describe the alloy phases. The Fourier-transform patterns of the models are found to be similar to the corresponding electron-diffraction patterns of these alloy phases along three “symmetry directions”. Details of the motivations and approaches that lead to these models are discussed.
Peer Review Status:Awaiting Review
Subjects: Mathematics >> Applied Mathematics Subjects: Physics >> Interdisciplinary Physics and Related Areas of Science and Technology submitted time 2023-07-04
Abstract:
Based on the Golomb's pseudorandomness assumptions on idea pseudorandom sequences and FIPS 140-2 pseudorandomness test, this paper first presents a new approach for improving the pseudorandomness of pseudorandom sequences. Second, using a generalized synchronization theorem, and three chaotic maps constructs one 8-dimensional chaotic generalized synchronization system (8DCGSS). Then using the 8DCGSS designs a chaotic
pseudorandom number generator (CPRNG). The keyspace of the CPRNG is larger than 2^{1117}. Third, using FIPS 140-2 pseudorandomness test criterions and generalized FIPS 140-2 pseudorandomness test criterions measures, respectively, the pseudorandomness of the keystreams with length 20 000, 100 000 and 1 000 000 generated via the CPRNG, an Matlab PRNG, an RC4 algorithm, and an m-sequence with period 2^{20} - 1, and the corresponding improved keystreams by our approach. The results show that the presented approach can increase significantly the pseudorandomness of the keystreams generated by the four PRNGs. The key streams generated by the m-sequence do not have sound pseudorandomness when the lengths of the key streams are less than 100 000.
Peer Review Status:Awaiting Review