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The Resource Algebraic Coding Theory over Finite Commutative Rings

Algebraic Coding Theory over Finite Commutative Rings

Label
Algebraic Coding Theory over Finite Commutative Rings
Title
Algebraic Coding Theory over Finite Commutative Rings
Creator
Subject
Language
eng
Member of
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
SpringerBriefs in Mathematics Ser
Algebraic Coding Theory over Finite Commutative Rings
Label
Algebraic Coding Theory over Finite Commutative Rings
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4898813
Publication
Copyright
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Acknowledgements -- Contents -- 1 Introduction -- 1.1 History -- 1.2 Definitions and Notations -- References -- 2 Ring Theory -- 2.1 Finite Commutative Rings -- 2.2 Frobenius Rings -- 2.3 Chinese Remainder Theorem -- 2.4 Generators -- References -- 3 MacWilliams Relations -- 3.1 Introduction to the MacWilliams Relations -- 3.2 MacWilliams Relations for Codes Over Groups -- 3.3 MacWilliams Relations for Codes Over Rings -- 3.4 A Practical Guide to the MacWilliams Relations -- References -- 4 Families of Rings -- 4.1 Rings of Order 4 -- 4.2 Ranks and Kernels of Quaternary Codes -- 4.3 X-rings -- 4.4 The Ring Rq,E -- 4.5 Chain Rings and Principal Ideal Rings -- 4.6 Generalized Singleton Bound -- References -- 5 Self-dual Codes -- 5.1 Self-dual Codes Over Frobenius Rings -- 5.2 Connections to Lattices -- 5.3 Connections to Binary Self-dual Codes -- 5.4 Connections to Designs -- 5.5 Linear Complementary Dual -- References -- 6 Cyclic and Constacyclic Codes -- 6.1 Polycyclic Codes -- 6.2 Constacyclic Codes Over Formal Power Series Rings and Chain Rings -- 6.3 Codes as Ideals in Group Rings -- 6.4 Quasicyclic Codes -- 6.5 k-Cyclic Codes -- References -- Index
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unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4388473'}
Extent
1 online resource (109 pages)
Form of item
online
Isbn
9783319598062
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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