03390nam 2200553 450 99641820360331620220321133839.03-030-60806-910.1007/978-3-030-60806-4(CKB)5590000000002295(MiAaPQ)EBC6361021(DE-He213)978-3-030-60806-4(MiAaPQ)EBC6647501(Au-PeEL)EBL6361021(OCoLC)1198559148(Au-PeEL)EBL6647501(PPN)250220962(EXLCZ)99559000000000229520220321d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierTopics in Galois fields /Dirk Hachenberger and Dieter Jungnickel1st ed. 2020.Cham, Switzerland :Springer,[2020]©20201 online resource (XIV, 785 p. 11 illus.) Algorithms and Computation in Mathematics,1431-1550 ;293-030-60804-2 Includes bibliographical references and index.Basic Algebraic Structures and Elementary Number Theory -- Basics on Polynomials- Field Extensions and the Basic Theory of Galois Fields -- The Algebraic Closure of a Galois Field -- Irreducible Polynomials over Finite Fields -- Factorization of Univariate Polynomials over Finite Fields -- Matrices over Finite Fields -- Basis Representations and Arithmetics -- Shift Register Sequences -- Characters, Gauss Sums, and the DFT -- Normal Bases and Cyclotomic Modules -- Complete Normal Bases and Generalized Cyclotomic Modules -- Primitive Normal Bases -- Primitive Elements in Affin Hyperplanes -- List of Symbols -- References -- Index.This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields. We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm. The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.Algorithms and Computation in Mathematics,1431-1550 ;29Finite fields (Algebra)Galois theoryFinite fields (Algebra)Galois theory.512.3Hachenberger Dirk845494Jungnickel D.1952-MiAaPQMiAaPQMiAaPQBOOK996418203603316Topics in Galois Fields1887565UNISA01727nam 2200493 a 450 991070098220332120111027112445.0(CKB)5470000002413202(OCoLC)758867643(EXLCZ)99547000000241320220111027d2010 ua 0engurcn|||||||||txtrdacontentcrdamediacrrdacarrierPropulsion Diagnostic Method Evaluation Strategy (ProDiMES) user's guide[electronic resource] /Donald L. SimonCleveland, Ohio :National Aeronautics and Space Administration, Glenn Research Center,[2010]1 online resource (iii, 38 pages) color illustrationsNASA/TM ;2010-215840Title from title screen (viewed on Oct. 27, 2011)."January 2010."Includes bibliographical references (page 38).Propulsion Diagnostic Method Evaluation Strategy PropulsionnasatAircraft enginesnasatSystems health monitoringnasatFlight safetynasatGas path analysisnasatSoftware engineeringnasatPropulsion.Aircraft engines.Systems health monitoring.Flight safety.Gas path analysis.Software engineering.Simon Donald L1389758NASA Glenn Research Center.GPOGPOBOOK9910700982203321Propulsion Diagnostic Method Evaluation Strategy (ProDiMES) user's guide3495109UNINA01028nam0 22002291i 450 UON0009762920231205102539.75820020107d1968 |0itac50 bafreFR|||| |||||Recherches sur l'age du fer en Italie meridionaleTesto e tavoleJuliette De La Geniere[S.l.]Institut Francais de Naples1968 p. cmLA_GENIEREJuliette : deUONV063345389112Institut Francais de NaplesUONV260602650ITSOL20240220RICAUON00097629SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI O 1 013 01 SI MC 11 5 SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI O 1 013 02 SI MC 28909 5 Recherches sur l'age du fer en Italie méridionale232640UNIOR