Download or read book An Introduction to Quasigroups and Their Representations written by Jonathan D. H. Smith and published by CRC Press. This book was released on 2006-11-15 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension. To fully understand representation theory,

Download or read book Elements of Quasigroup Theory and Applications written by Victor Shcherbacov and published by CRC Press. This book was released on 2017-05-12 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to quasigroup theory along with new structural results on some of the quasigroup classes. Many results are presented with some of them from mathematicians of the former USSR. These included results have not been published before in the western mathematical literature. In addition, many of the achievements obtained with regard to applications of quasigroups in coding theory and cryptology are described.

Download or read book Gr bner Bases Coding and Cryptography written by Massimiliano Sala and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.

Download or read book Cryptocoding Based on Quasigroups written by Daniela Mechkaroska and published by Springer Nature. This book was released on 2024-02-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the concept of cryptcoding which arises from the need to obtain secure and accurate transmission. Therefore, it is necessary to improve constantly existing and develop new algorithms that will ensure accurate and secure data transfer. This leads to the intensive development of coding theory and cryptography as scientific fields which solve these problems. To ensure efficient and secure data transmission at the same time, the concept of cryptcoding is developed such that the coding and encryption processes are merged into one process. Cryptcodes provide correction of a certain number of errors in the transmitted message and data confidentiality, using only one algorithm. The main research in this field is to define new algorithms for coding that detects and corrects errors, random codes, stream ciphers, block ciphers, pseudo-random generators, hash functions, etc. This monograph examines an application of quasigroups for designing error-correcting cryptcodes, called Random Codes Based on Quasigroups (RCBQ ). These codes are a combination of cryptographic algorithms and error-correcting codes and depend on several parameters. Some modifications (new coding/decoding algorithms) of RCBQ for improving their performances for transmission ordinary messages, images, and audio files trough a binary-symmetric channel, Gaussian channel, and burst channels are considered. Also, authors propose and analyze filter for visually enhance of the decoded images and improving the quality of decoded audio files.

Download or read book Quasigroups and Related Systems written by and published by . This book was released on 1994 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quasigroups and Loops written by Orin Chein and published by . This book was released on 1990 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quasigroups and Loops written by Hala O. Pflugfelder and published by . This book was released on 1990 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Webs and Quasigroups written by and published by . This book was released on 2000 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. for 1991- has papers presented at: Non-Linear Geometric Algebra-89-

Download or read book Representation Theory of Infinite Groups and Finite Quasigroups written by Jonathan D. H. Smith and published by Presses de l'Université de Montréal. This book was released on 1986 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Smooth Quasigroups and Loops written by L. Sabinin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last twenty-five years quite remarkable relations between nonas sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces. The notion ofodule was introduced as a fundamental algebraic invariant of differential geometry. For any space with an affine connection loopuscular, odular and geoodular structures (partial smooth algebras of a special kind) were introduced and studied. As it happened, the natural geoodular structure of an affinely connected space al lows us to reconstruct this space in a unique way. Moreover, any smooth ab stractly given geoodular structure generates in a unique manner an affinely con nected space with the natural geoodular structure isomorphic to the initial one. The above said means that any affinely connected (in particular, Riemannian) space can be treated as a purely algebraic structure equipped with smoothness. Numerous habitual geometric properties may be expressed in the language of geoodular structures by means of algebraic identities, etc.. Our treatment has led us to the purely algebraic concept of affinely connected (in particular, Riemannian) spaces; for example, one can consider a discrete, or, even, finite space with affine connection (in the form ofgeoodular structure) which can be used in the old problem of discrete space-time in relativity, essential for the quantum space-time theory.

Download or read book Izvestii a Akademii nauk Respubliki Moldova written by and published by . This book was released on 2007 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Utilitas Mathematica written by and published by . This book was released on 1986 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Canadian journal of applied mathematics, computer science and statistics.

Download or read book Fast Software Encryption written by and published by . This book was released on 2005 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1993 consists of proceedings of the Cambridge Security Workshop; 1994: proceedings of the 2nd international workshop held in Leuven, Belgium; 1996- : proceedings of the 3rd- international workshop.

Download or read book Aequationes Mathematicae written by and published by . This book was released on 1973 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Publicationes mathematicae written by Kossuth Lajos Tudományegyetem. Matematikai Intézet and published by . This book was released on 1976 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Soviet Mathematics written by and published by . This book was released on 1967 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Coding Theory and Design Theory written by Dijen Ray-Chaudhuri and published by Springer. This book was released on 1990-04-23 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications Coding Theory and Design Theory Part II: Design Theory is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year long program. We especially thank the Workshop Organizer, Dijen Ray-Chaudhuri, for organizing a workshop which brought together many of the major figures in a variety of research fields in which coding theory and design theory are used. A vner Friedman Willard Miller, Jr. PREFACE Coding Theory and Design Theory are areas of Combinatorics which found rich applications of algebraic structures. Combinatorial designs are generalizations of finite geometries. Probably, the history of Design Theory begins with the 1847 pa per of Reverand T. P. Kirkman "On a problem of Combinatorics", Cambridge and Dublin Math. Journal. The great Statistician R. A. Fisher reinvented the concept of combinatorial 2-design in the twentieth century. Extensive application of alge braic structures for construction of 2-designs (balanced incomplete block designs) can be found in RC. Bose's 1939 Annals of Eugenics paper, "On the construction of balanced incomplete block designs". Coding Theory and Design Theory are closely interconnected. Hamming codes can be found (in disguise) in RC. Bose's 1947 Sankhya paper "Mathematical theory of the symmetrical factorial designs".