Post-quantum public key-agreement scheme based on a new form of the hidden logarithm problem

A new form of the hidden discrete logarithm problem, proposed as primitive of the post-quantum public-key cryptoschemes, is defined over the 6-dimensional finite non-commutative associative algebra with a large set of the left-sided global units. The considered computationally difficult problem uses the mutual commutativity of the exponentiation operation and homomorphism mapping defined relatively a fixed unit element of the algebra. The related properties of the introduced algebra are described. Novel public key-agreement and zero-knowledge protocols based on the hidden logarithm problem are introduced as post-quantum cryptoschemes

Novel Noncommutative Cryptography Scheme Using Extra Special Group

Noncommutative cryptography (NCC) is truly a fascinating area with great hope of advancing performance and security for high end applications. It provides a high level of safety measures. The basis of this group is established on the hidden subgroup or subfield problem (HSP). The major focus in this manuscript is to establish the cryptographic schemes on the extra special group (ESG). ESG is showing one of the most appropriate noncommutative platforms for the solution of an open problem. The working principle is based on the random polynomials chosen by the communicating parties to secure key exchange, encryption-decryption, and authentication schemes. This group supports Heisenberg, dihedral order, and quaternion group. Further, this is enhanced from the general group elements to equivalent ring elements, known by the monomials generations for the cryptographic schemes. In this regard, special or peculiar matrices show the potential advantages. The projected approach is exclusively based on the typical sparse matrices, and an analysis report is presented fulfilling the central cryptographic requirements. The order of this group is more challenging to assail like length based, automorphism, and brute-force attacks

Spanish American, 09-14-1918

https://digitalrepository.unm.edu/sp_am_roy_news/1286/thumbnail.jp

International Congress of Mathematicians: 2022 July 6–14: Proceedings of the ICM 2022

Following the long and illustrious tradition of the International Congress of Mathematicians, these proceedings include contributions based on the invited talks that were presented at the Congress in 2022. Published with the support of the International Mathematical Union and edited by Dmitry Beliaev and Stanislav Smirnov, these seven volumes present the most important developments in all fields of mathematics and its applications in the past four years. In particular, they include laudations and presentations of the 2022 Fields Medal winners and of the other prestigious prizes awarded at the Congress. The proceedings of the International Congress of Mathematicians provide an authoritative documentation of contemporary research in all branches of mathematics, and are an indispensable part of every mathematical library

The 1981 NASA/ASEE Summer Faculty Fellowship Program: Research reports

Research reports related to spacecraft industry technological advances, requirements, and applications were considered. Some of the topic areas addressed were: (1) Fabrication, evaluation, and use of high performance composites and ceramics, (2) antenna designs, (3) electronics and microcomputer applications and mathematical modeling and programming techniques, (4) design, fabrication, and failure detection methods for structural materials, components, and total systems, and (5) chemical studies of bindary organic mixtures and polymer synthesis. Space environment parameters were also discussed

Šibalství v The Confidence-Man:His Masquerade Hermana Melvilla a díle Charles W.Chesnutta

Šibalové jsou oblíbenými kulturními a literárními postavami, které se objevují napříč regiony a žánry v různých podobách. Postavy Strýčka Julia ze sbírky povídek Charles W. Chesnutta The Conjure Woman a podvodníka z románu The Confidence-Man: His Masquerade od Hermana Melvilla jsou obě šibaly vycházející z významných kulturních tradic: afro(-amerického) náboženského šibala, respektive skutečného podvodníka Williama Thompsona. Tato práce porovnává šibaly v tematických a structurálních prvcích. Původ literárních postav určuje očekávání čtenářů a jejich vnímání těchto šibalů. Melville a Chesnutt u čtenářů podporují stereotypní chápání postav, ale zároveň do textů přidávají alternativní pojetí. Střet těchto vnímání slouží k představení několika sociálních témat týkajících se otroctví v The Conjure Woman a soběstačnosti v The Confidence-Man, obě tato témata v důsledku poukazují na problematické rozložení svobody v americké společnosti. Šibalové se v textech objevují jako literární postavy a také jako literární nástroje, čímž naplňují rys mnohoznačnosti typický pro archetyp šibala.Tricksters are popular cultural and literary characters which appear across regions and genres in various forms. The characters Uncle Julius from The Conjure Woman collection of short stories by Charles W. Chesnutt, and the confidence man from Herman Melville's The Confidence-Man: His Masquerade are both tricksters who are based on strong cultural backgrounds: the African(- American) religious trickster, and real life con artist William Thompson, respectively. This thesis sets out to compare the tricksters in thematic and structural elements. The origins of the literary characters help shape the readers' expectations and perception of the tricksters. Melville and Chesnutt encourage the stereotypical reading of the characters while also including an alternative one in the text. The conflict of perceptions serves to introduce a number of social topics regarding slavery in The Conjure Woman and self-reliance in The Confidence-Man, both of which ultimately point to the problematic distribution of freedom in American society. The tricksters appear both as literary characters and literary devices, corresponding with the ambiguous nature of the trickster archetype.Department of Anglophone Literatures and CulturesÚstav anglofonních literatur a kulturFilozofická fakultaFaculty of Art