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Résumé longFauĆ.Werd’ iĚ beruhigt je miĚ auf ein Faulbett legen,So sey eŊ gleiĚ um miĚ gethan!KannĆ du miĚ sĚmeiĚelnd je bel§gen,Daj iĚ mir selbĆ gefallen mag,KannĆ du miĚ mit Genuj betr§gen;DaŊ sey f§r miĚ der leŃte Tag!Die Wette biet’ iĚ!MephiĆopheleŊ.Top!FauĆ.Und SĚlag auf SĚlag!Werd’ iĚ zum AugenbliĘe sagen:Verweile doĚ! du biĆ so sĚŽn!Dann magĆ du miĚ in FeĄeln sĚlagen,Dann will iĚ gern zu Grunde gehn!Dann mag die TodtengloĘe sĚallen,Dann biĆ du deineŊ DienĆeŊ frey,Die Uhr mag Ćehn, der Zeiger fallen,EŊ sey die Zeit f§r miĚ vorbey!MephiĆopheleŊ.Bedenk’ eŊ wohl, wir werden’Ŋ niĚt vergeĄen.FauĆJohann Wolfgang von Goethe [117]
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2012-ENST-003EDITE de ParisDoctorat
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Jean-Pierre Flori: Boolean function
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AbstractThe core of this thesis is
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AcknowledgmentsVladimir. — Quand
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ContentsList of symbols and notatio
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Contentsxv4 Efficient characterizat
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List of figures1.1 The filter model
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List of symbols and notationGeneral
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List of symbols and notationxxil(t)
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List of symbols and notationxxiiidi
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List of symbols and notationxxvu
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2 Introduction1 Mathematics and cry
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4 Introductiongiving more general b
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Chapter 1Boolean functions incrypto
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1.1. Cryptographic criteria for Boo
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1.2. Families of Boolean functions
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20 Chapter 2. On a conjecture about
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Part IIBent functions and pointcoun
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96 Chapter 3. Bent functions and al
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98 Chapter 3. Bent functions and al
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100 Chapter 3. Bent functions and a
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110 Chapter 4. Efficient characteri
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Part IIIComplex multiplication and
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132 Chapter 5. Complex multiplicati
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Chapter 6Complex multiplication in
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6.1. Abelian varieties 1616.1 Abeli
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6.1. Abelian varieties 163Theorem 6
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Page 218 and 219: 192 Bibliography[13] Elwyn Ralph Be
Page 220 and 221: 194 Bibliography[42] Claude Carlet,
Page 222 and 223: 196 Bibliography[72] Cunsheng Ding,
Page 224 and 225: 198 Bibliography[102] David Freeman
Page 226 and 227: 200 Bibliography[132] Marc Hindry a
Page 228 and 229: 202 Bibliography[161] Philippe Lang
Page 230 and 231: 204 Bibliography[191] Willi Meier a
Page 232 and 233: 206 Bibliography[222] Oscar Seymour
Page 234 and 235: 208 Bibliography[254] Marco Streng.
Page 236 and 237: 210 Bibliography[286] Chia-Fu Yu. T
Page 238 and 239: 212 IndexForm class group . . . . .
Page 240 and 241: 214 IndexKKloosterman sum . . . . .
Page 244 and 245: 218 Résumé longEstragon. — Alor
Page 246 and 247: 220 Résumé long⊕ ⊕ ⊕s i+L
Page 248 and 249: 222 Résumé long1.2 D’une conjec
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Page 252 and 253: 226 Résumé longSon graphe est rep
Page 254 and 255: 228 Résumé longLa caractérisatio
Page 256 and 257: 230 Résumé longThéorème 2.4 (Th
Page 258 and 259: 232 Résumé longprécédent. Dans
Page 260 and 261: 234 Résumé longProposition 2.13.
Page 262 and 263: 236 Résumé longFigure 8 - Un tore
Page 264 and 265: 238 Résumé longAlgorithme 1 - Cal
Page 266 and 267: 240 Résumé longThéorème 3.8 ([2
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