- Page 1:
U.F.R.DESSCIENCESETDESTECHNIQUES UN
- Page 4 and 5:
ii2.1Denitionsetpremieresproprietes
- Page 6 and 7:
iv CODESETINTERPRETATIONS
- Page 8 and 9:
partagelebureaupendantdeuxans.Pourt
- Page 10 and 11:
viii engenetique[AM95].Lebutdelathe
- Page 12 and 13:
admettentchacuneuneversiondutheorem
- Page 14 and 15:
egala1:lescodesnon-interpretes. xii
- Page 16 and 17:
21.1Monodes ciativeetquipossedeunel
- Page 18 and 19:
4primitifsitousseselementssontprimi
- Page 20 and 21:
61.3.2Ensemblesrationnels Lafamille
- Page 22 and 23:
8Proposition1.4.3Unsous-monodeMAest
- Page 24 and 25:
10 codesadelaidedechirageborne,code
- Page 26 and 27:
12 jacentess'ilexistei2[0;n]etj2[0;
- Page 28 and 29:
14 CHAPITRE1.PRELIMINAIRES
- Page 30 and 31:
16 erreurdetransmissionappara^tdans
- Page 32 and 33:
18y1 CHAPITRE2.CODESADELAID'INTERPR
- Page 34 and 35:
delaid.CommeXestuncode,onax6=". 20
- Page 36 and 37:
22 Preuve.SoientYBetZAdeuxcodesadel
- Page 38 and 39:
24(ii)Ilexistei>0,j>1,2S(X),x1;:::;
- Page 40 and 41:
26 {Supposonsyju2S(xi).Posonsalorsv
- Page 42 and 43:
28 dem^eme,onpose Posons CHAPITRE2.
- Page 44 and 45:
deX+(d). deX(b)ouencorelemotcdestla
- Page 46 and 47:
adjacent.Parl'absurde,supposonsX\S(
- Page 48 and 49:
34 {Enfait,lescodes(1;2n),(2n;1)-li
- Page 50 and 51:
36 {Unautreexempleinteressantestcel
- Page 52 and 53:
plementaires: Exemple2.5.1Lecoderat
- Page 54 and 55:
40x1g(0)=1g(1)=2 CHAPITRE2.CODESADE
- Page 56 and 57:
42 (x1:::xf(q))12Xcequiimpliquerait
- Page 58 and 59:
44Leschema2.3reprendlesprincipauxre
- Page 60 and 61:
quisontinclusesdanslafamilledescode
- Page 62 and 63:
construction: centemaispasd'exhiber
- Page 64 and 65:
acelledec,parhypothesederecurrence,
- Page 66 and 67:
52Eneet,onaU1(X)=P(X)nf"g=fabab;abc
- Page 68 and 69:
ni: Theoreme3.2.2LabaseYdel'envelop
- Page 70 and 71:
56 CHAPITRE3.THEOREMEDUDEFAUTETCODE
- Page 72 and 73:
Proposition3.4.4UnmonodeNestextr^em
- Page 74 and 75: pretee.SiunmotdeXadmetuneX-interpre
- Page 76 and 77: qu'ilssontenfaitdescodesnon-interpr
- Page 78 and 79: 64 CHAPITRE3.THEOREMEDUDEFAUTETCODE
- Page 80 and 81: maximaldanslafamilledescodes?Lefait
- Page 82 and 83: Codesprexes,suxesetbixes Nouspresen
- Page 84 and 85: YFtelqueXYonaY=X.Evidemment,cetteno
- Page 86 and 87: mauxnishormisA,c'estenparticulierle
- Page 88 and 89: estuncodebixemaximal,nonmaximaldans
- Page 90 and 91: coupantestmentionneen[Per84]:fanbnj
- Page 92 and 93: 78 CHAPITRE4.SURLESCODESMAXIMAUX
- Page 94 and 95: 80 consisteamontrerque,pourtoutcode
- Page 96 and 97: 82 {Sinonilexisteunmotz2X00etdesmot
- Page 98 and 99: 84 s0 CHAPITRE5.MAXIMALITEETCOMPLET
- Page 100 and 101: 86 5.2Unemethodedecompletion d'alph
- Page 102 and 103: ni. uniformementsynchronisants(cf.T
- Page 104 and 105: 90 {jt0j
- Page 106 and 107: 92 {Sijsj>jt2jalorsilexistes02Atelq
- Page 108 and 109: 94t0).Soientz002Xetp2P(X)deuxmotste
- Page 110 and 111: 96c1 CHAPITRE5.MAXIMALITEETCOMPLETU
- Page 112 and 113: 98 Preuve.Nousallonsmontrerquepourt
- Page 114 and 115: veriantt1wt2=xt1r0t2y. 100contredit
- Page 116 and 117: 102 CHAPITRE5.MAXIMALITEETCOMPLETUD
- Page 118 and 119: t0=yxyxetV=(t0A\At0)nAt0Xt0AnAt0X+n
- Page 120 and 121: 106 CHAPITRE6.CODESSYNCHRONISANTSMA
- Page 122 and 123: possibilite. P(1:::k01yxyx)etdonck2
- Page 126 and 127: 112Onajkjjkj
- Page 128 and 129: nisantmaximalY.DeplussiXestuncodera
- Page 130 and 131: uneintersectionnonvideaveclafamille
- Page 132 and 133: lelemmesuivant: preservelasuxitedel
- Page 134 and 135: 120{Supposonsx2Xety2U.Pardenitionde
- Page 136 and 137: lemme7.1.1assurequeby0n'estpasS-com
- Page 138 and 139: 124 V:l'ensembleVestsuxe. Nousavons
- Page 140 and 141: 126 (b)Ilestclairquelecasfz01;:::;z
- Page 142 and 143: 128Parconsequent,leseulcasquipeutap
- Page 144 and 145: doncn>m. P(x).Deplusonab(ab)n2P(x),
- Page 146 and 147: 132impliqueb:(ab)jvj:v:a2P(w:a),c'e
- Page 148 and 149: 134bad0bd1 as0 dibabCHAPITRE7.CODES
- Page 150 and 151: 136obtientdonc Ainsi,ona CommeUestb
- Page 152 and 153: maximalitedeUdansFcirc. 138 Lemme7.
- Page 154 and 155: 1.LRab(z)\Ujzj16=;. Extendab(z),cel
- Page 156 and 157: 142etu00=k+2:::h0:((ab)m0a)1,d'ouu0
- Page 158 and 159: 144 L'ensembleUestdoncmaximaldansFc
- Page 160 and 161: 146 Preuve.Consideronslasuitedes M(
- Page 162 and 163: 148 Onaalors: 9n02N;8y2X;8(s;p)2(y)
- Page 164 and 165: 1509n2N;8y2X;8(s;p)2(y)\(S(X)P(X))
- Page 166 and 167: 152 CODESETINTERPRETATIONS
- Page 168 and 169: 154 [Bru91a]V.Bruyere,Codes,Dissert
- Page 170 and 171: 156 [NC92]J.NeraudetM.Crochemore,As
- Page 172 and 173: 158 CODESETINTERPRETATIONS
- Page 174 and 175:
160prexe,8,68,75,122 rationnel,38,1
- Page 176 and 177:
162 INDEX
- Page 178 and 179:
164P(X) S(X) Ensembledesprexesnontr
Change language