05636nam 2200733 a 450 991045614330332120200520144314.01-282-75750-49786612757501981-283-769-8(CKB)2490000000001587(EBL)1679527(OCoLC)613386705(SSID)ssj0000434601(PQKBManifestationID)11925652(PQKBTitleCode)TC0000434601(PQKBWorkID)10415462(PQKB)11515510(MiAaPQ)EBC1679527(WSP)00000527 (Au-PeEL)EBL1679527(CaPaEBR)ebr10422168(CaONFJC)MIL275750(EXLCZ)99249000000000158720090601d2009 uy 0engur|n|---|||||txtccrCodes over rings[electronic resource] proceedings of the CIMPA Summer School : Ankara, Turkey, 18-29 August, 2008 /editor, Patrick SoléSingapore ;Hackensack, NJ World Scientificc20091 online resource (201 p.)Series on coding theory and cryptology ;v. 6"This is the proceedings volume of the International Centre for Pure and Applied Mathematics Summer School course held in Ankara, Turkey, in August 2008"--Pref.981-283-768-X Includes bibliographical references.Contents; Preface; References; Partial Correlations of Sequences and Their Applications S. Bozta and P. Udaya; 1. Introduction and Background; 1.1. Outline of Paper; 2. Sequences and Correlations; 3. Rings, Trace Functions and Sequences; 3.1. Galois Ring Preliminaries; 3.2. Sequence Families- A, Band C; 4. The Partial Correlation and Its First Moment; 5. The Second Moment of the Partial Correlation Function; 6. Conclusions and Discussion; Acknowledgements; References; On the Structure of Cyclic and Negacyclic Codes over Finite Chain Rings H. Q. Dinh, S. R. Lopez-Per-mouth and S. Szabo1. Introduction2. Chain Rings and Galois Rings; 3. Alternative Metrics for Codes over Finite Rings; 4. Constacyclic Codes over Arbitrary Commutative Finite Rings; 5. Simple-Root Cyclic and Negacyclic Codes over Finite Chain Rings; 6. Repeated-Root Cyclic and Negacyclic Codes over Finite Chain Rings; 7. Closing Remarks and A Few Generalizations; References; Linear Codes over Finite Chain Rings and Projective Hjelmslev Geometries T. Honold and 1. Landjev; 1. Introduction; 2. Modules over Finite Chain Rings; 2.1. Finite Chain Rings; 2.2. Structure of Finite Modules; 2.3. Free Modules2.4. Counting Formulas3. Linear Codes over Finite Chain Rings; 3.1. Basic properties; 3.2. Code Spectra and Isomorphisms; 3.3. Mac Williams Identities; 4. Projective and Affine Hjelmslev Spaces; 4.1. Axiomatic Definition; 4.2. Coordinate Hjelmslev Geometries; 4.3. Multisets of Points in PHG(R~); 5. Linear Codes and Geometry; 5.1. Equivalence of Multisets of Points and Linear Codes; 5.2. Some Classes of Codes Defined Geometrically; 5.3. Generalized Gray Maps; 5.4. Linearly Representable Codes; 5.5. Homogeneous Weights and Strongly Regular Graphs; 6. Arcs in Projective Hjelmslev Planes6.1. A General Upper Bound for the Size of an Arc6.2. Constructions for Arcs; 6.3. (k,2)-Arcs; 6.4. Dual Constructions; 6.5. Constructions Using Automorphisms; 6.6. Tables for Arcs in Geometries over Small Chain Rings; 7. Blocking Sets in Projective Hjelmslev Planes; 7.1. General Results; 7.2. Redei Type Blocking Sets; Acknowledgements; Bibliography; Foundations of Linear Codes Defined over Finite Modules: The Extension Theorem and the MacWilliams Identities 1. A. Wood; 1. Introduction; 2. Characters; 2.1. Basic results; 2.2. Additive form of characters; 2.3. Character modules3. Finite rings3.1. Basic definitions; 3.2. Structure of finite rings; 3.3. Duality; 4. Mobius functions of posets; 4.1. Basic definitions; 4.2. Examples; 5. Linear codes over modules; sufficient conditions for the extension theorem; 5.1. Basic definitions; 5.2. The character module as alphabet: the case of Hamming weight; 5.3. Sufficient conditions: the case of Hamming weight; 5.4. Sufficient conditions: the case of rings; 5.5. Semi-linear transformations; 6. Necessary conditions for the extension theorem; 6.1. Statement of results; 6.2. Proof of Theorem 6.36.3. The strategy of Dinh and Lopez-Permouth and proofs of necessary conditionsThis is the proceedings volume of the International Centre for Pure and Applied Mathematics Summer School course held in Ankara, Turkey, in August 2008. Contributors include Bozta?, Udaya, Dinh, Ling, L�opez-Permouth, Szabo, Honold, Landjev and Wood. The aim is to present a survey in fundamental areas and highlight some recent results.Series on coding theory and cryptology ;6.Coding theoryCongressesRings (Algebra)CongressesQuasi-Frobenius ringsCongressesNumber theoryCongressesElectronic books.Coding theoryRings (Algebra)Quasi-Frobenius ringsNumber theory003/.54Solé Patrick862849International Centre for Pure and Applied Mathematics Summer SchoolMiAaPQMiAaPQMiAaPQBOOK9910456143303321Codes over rings1926215UNINA01435nam0 2200313 i 450 VAN005261820240212092232.49208-17-65936-637-643-5936-620060918d1998 |0itac50 baengDE|||| |||||Integrationa functional approachKlaus BichtelerBaselBirkhäuser1998VIII, 193 p.24 cm001VAN00448872001 Birkhäuser advanced texts210 Basel [etc.]Birkhäuser28-XXMeasure and integration [MSC 2020]VANC019878MF28C05Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures [MSC 2020]VANC022364MFBaselVANL002076BichtelerKlausVANV04148165728Birkhäuser <editore>VANV108193650ITSOL20240216RICAhttps://books.google.it/books?id=3bJDAAAAQBAJ&printsec=frontcover&hl=ithttps://books.google.it/books?id=3bJDAAAAQBAJ&printsec=frontcover&hl=itBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08VAN0052618BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08PREST 28-XX 0368 08 5007 I 20060918 Integration378180UNICAMPANIA01027nam0 22002533i 450 VAN0026083420240806101503.324978-88-89323-56-420230706d2008 |0itac50 baitaIT|||| |||||Emissioni odorigene e impatto olfattivoprevenzione e trattamentonormative di riferimento, misure per il contenimento, tecniche di abbattimentocoordinamento a cura di Nicola G. GrilloRomaGeva2008188 p.ill.24 cmRomaVANL000360GrilloNicola Giovanni1955- VANV215004GevaVANV113622ITSOL20240906RICABIBLIOTECA DEL DIPARTIMENTO DI INGEGNERIAIT-CE0100VAN05VAN00260834BIBLIOTECA DEL DIPARTIMENTO DI INGEGNERIA05PREST T 039 05UBI1786 20230706 Emissioni odorigene e impatto olfattivo3390129UNICAMPANIA