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Books > Reference & Interdisciplinary > Communication studies > Coding theory & cryptology
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Z2Z4-Linear Codes (Hardcover, 1st ed. 2022)
Loot Price: R3,898
Discovery Miles 38 980
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Z2Z4-Linear Codes (Hardcover, 1st ed. 2022)
Expected to ship within 12 - 19 working days
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The theory developed for 2 4-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 2
4-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 2
4-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 Autonoma de Barcelona, Spain.
Joaquim Borges and Cristina Fernandez-Cordoba are Associate
Professors, Jaume Pujol is a now retired Associate Professor, Josep
Rifa is Professor Emeritus, and Merce Villanueva is Associate
Professor.
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