000			04169nam a22004095i 4500
001			394591
003			ES-MaUEC
005			20230102123142.0
007			cr nn 008mamaa
008			220630s2022 sz | s |||| 0|eng d
020			_a9783031054419
024	7		_a10.1007/978-3-031-05441-9 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC
100	1		_aBorges, Joaquim _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aZ2Z4-Linear Codes _cby Joaquim Borges, Cristina Fernández-Córdoba, Jaume Pujol, Josep Rifà, Mercè Villanueva
250			_a1st edition 2022
264		1	_aCham _bSpringer International Publishing _c2022
300			_a1 recurso en línea (XII, 245 páginas) _b1 illus
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
505	0		_a1 Introduction -- 2 ℤ2ℤ4-Additive and ℤ2ℤ4-Linear Codes -- 3 Duality of ℤ2ℤ4-Additive Codes -- 4 ℤ2ℤ4-Additive Self-Dual Codes -- 5 Linearity, Rank and Kernel -- 6 Families of ℤ2ℤ4-Additive Codes -- 7 ℤ2ℤ4-Additive Cyclic Codes -- 8 Encoding and Decoding ℤ2ℤ4-Linear Codes -- 9 Generalizations and Applications of ℤ2ℤ4-Additive Codes. .
520			_aThe theory developed for ℤ2ℤ4-additive codes is the starting point for much generalization about codes over mixed alphabets. They have opened a new, emergent area of research. The techniques used for ℤ2ℤ4-linear codes are being generalized and applied to more general codes. By example, these codes have contributed to the classification of many nonlinear codes. Moreover, they can be considered as the starting point of many different generalizations given over mixed alphabets, thereby representing a useful area of research. Since 2010, more than 30 papers have been published about the codes considered in the book, which includes important classes of binary codes (1-perfect, Hadamard, etc.) that are not linear in general. For example, much recent research has shown the application of the techniques described for the family of cyclic ℤ2ℤ4-linear codes. Topics and Features: Examines everything from the basic definitions to very advanced results Provides numerous examples, succinctly and comprehensively gathering and using the relevant information Includes examples using commands from a new Magma package, developed mostly by the same authors Proposes algorithms, for instance to describe coding and decoding strategies This unique volume will be eminently suitable for researchers working on coding theory over rings, especially over mixed alphabets. Experts will find commands and algorithms that will be useful in the generalization to codes over mixed alphabets. Additionally, by outlining the basic theory of codes over mixed alphabets and providing numerous examples, the book will be useful to researchers wanting to be introduced to the topic. The authors are all affiliated with the Dept. of Information and Communications Engineering at the Universitat Autònoma de Barcelona, Spain. Joaquim Borges and Cristina Fernández-Córdoba are Associate Professors, Jaume Pujol is a now retired Associate Professor, Josep Rifà is Professor Emeritus, and Mercè Villanueva is Associate Professor.
700	1		_aFernández-Córdoba, Cristina _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aPujol, Jaume _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aRifà, Josep _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aVillanueva, Mercè _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut
776	0	8	_iPrinted edition: _z9783031054402
776	0	8	_iPrinted edition: _z9783031054426
776	0	8	_iPrinted edition: _z9783031054433
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-05441-9 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
988			_aSpringer_Computer_2022
999			_c394591 _d394591