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SUMS14 Information and Coding Theory
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Springer Undergraduate Mathematics Series(SUMS) SUMS14 Information and Coding Theory, Gareth A. Jones, J. Mary Jones (2000) .pdf
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Springer Undergraduate Mathematics Series
Springer
London
Berlin
Heidelberg
New York
Barcelona
Hong
Kong
Milan
Paris
S
ingapore
Tokyo

Advisory
Board
P.]. Cameron
Queen
Mary and
Westfield
College
M.A.]. Chaplain
Un
iversity
of
Dundee
K.
Erdmann
Oxford
Un
iversity
L.c.G . Rogers
University
of
Bath
E. Siili Oxford
University
].F. Toland
University
of
Bath
Other
booksin this series
Analytic Methods for Partial Differential Equations G.
Evans,
J.
Blackledge,
P.
Yardley
Applied Geometry for Computer Graphics
and
CAD D.
Marsh
Basic Linear Algebra
T.S.
Blyth and
E.P.
Robertson
Basic Stochastic Processes Z. Brzeiniakand
T.
Zastawniak
Elements of Logic via Numbers
and
Sets
D.L
.
Johnson
Elementary
Number
Theory G.A.
Jones
and
J.M.
Jones
Groups, Rings
and
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D.A.R.
Wallace
Hyperbolic Geometry
J.
W.
Anderson
Introduction to Laplace Transforms
and
Fourier Series P
.P.G.
Dyke
Introduction to Ring Theory P.M.
Cohn
Introductory Mathematics: Algebra
and
Analysis G. Smith
Introductory Mathematics: Applications
and
Methods
G.S.
Marshall
Linear Functional Analysis
B.P.
Rynne and M.A.
Youngson
Measure, Integral
and
Probability M.
Capinksi
and
E.
Kopp
Multivariate Calculus
and
Geometry S.
Dineen
Numerical Methods for Partial Differential Equations G.Evans.]. Blackledge, P. Yardley
Sets, Logic
and
Categories
P.
Cameron
Topics in Group Theory G. Smith and O.
Tabachnikova
Topologies
and
Uniformities
I.M.
James
Vector Calculus P.e. Matthews

Gareth A. Jones
and
J. Mary Jones
Information
and
Coding
Theory
With 31 Figures
, Springer

Gareth A. Jones, MA, DPhil
Faculty
of
Mathematical Studies, University
of
Southampton,
Southampton
S017 IBJ, UK
J. Mary Jones, MA, DPhil
The
Open
University, Walton Hall, Milton Keynes MK7 6AA, UK
Cover
iUustralion
eiemetusreproduadby /rind
permission
of.
Aptech
Systems,
Inc,
Publishers
of the
GAUSS
Mathematical and Statistical System,238045.£. Ktnt·Kanglty Road, MapleVaIlty,WA
98038,
USA.
Tel:(206)432• 7855
Fu
(206)432• 7832
email:
info(hptech.com
URI.:
www
..pttch.com
AmericanStatistical
Association:
ChanceVol8 No 1,1995 articItby KSand KWHeiner7roe
Rings
of the Northtm Shawangunks'pegt 32 fig2
Springer-verlegr
Mathematia in Eduation and Rtscarch Vol 4 Issue 3 1995 articItby Roman E Maeder. BeatriceAmrhein and OliverGloor
'lDustrattd
Mathematica:
ViJualization of Mathematical Objects'pegt 9 fig 11,originallypublishedas a CD
ROM
'IDustrattdMathematics'by
TELOS
:
ISBN
0-387·14222·3,Germaneditionby
Birldlauser.ISBN
3·7643·S10Q-4.
Mathtmaticain Educationand
Research
Vo14Issut 3 1995articItby RichardJGaylordand KazumelfJShidatt 7raffic
Engineering
with CdIular
Automata'page 3S fig2. Mathematia in Bduation and
Research
VolS Issue2 1996articlt by
Michael
Trott 7hc: Implidtization of a Trefoil
Knot' pagel4.
Mathematica in Educationand
Research
Vol 5 Issue2 1996articlt by
Lee
de Cola
'Coins,
Trees,Barsand
Bel1s:
Simulationof the BinomialPre-
cess' page 19
fig3.
Mathematica
in Educationand
Research
Vol5 Issue2 1996articlt by
Richard
Gaylord
and KazumeNWlidalt 'Contagious
Spreading'page 33 fig 1. Mathematia in Eduation and
Research
Vol S Issue 2 1996 article by
Joe
Buhlerand Stan Wagon 'Secrets of the
MadelungConstant' page
SO
figI.
ISSN 1615-2085
ISBN 1-85233-622-6 Springer-Verlag London Berlin Heidelberg
British Library Ca1aloguing in Publication Data
jones, Gareth A.
Information and coding theory . - (Springer undergraduate
mathematics series)
I. Information theory 2. Coding theory
I. Title II. jones , j. Mary
003.5'4
ISBN 1852336226
Library of Congress Cataloging-in -Publication Data
jones . Gareth A.
Information and coding theory
I Gareth A. jones and j. Mary jones.
p. em. -- (Springer undergraduate mathematics series)
Includes bibliographical references and index .
ISBN 1·85233·622-6 (alk, paper)
I. Information theory. 2. Coding theory . I. jones, j. Mary (Josephine Mary). 1946-
II. Title. III. Series.
Q360 .)68 2000
003'.54-dc21 00·030074
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted
und er the Copyright, Designs and Patents Act 1988, this publication may only be reproduced. stored or
transmitted, in any form or by any means. with the prior permission in writing of the publishers, or in the case of
reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency.
Enquiries concern ing reproduction outside those terms should be sent to the publishers.
© Springer-Verlag London Limited 2000
Printed in Great Britain
2nd printing 2002
The use of registered names , trademarks etc. in this publication does not imply, even in the absence of a specific
statement. that such names are exempt from the relevant laws and regulations and therefore free for general use.
The publisher makes no representation, express or implied. with regard to the accuracy of the information
contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may
be made .
Typesetting : Camera ready by the author and Michael Mackey
Printed and bound at the Atheneeum Press Ltd.• Gateshead, Tyne
& Wear
1213830 -54321 Printed on acid-free paper SPIN
10866505
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