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  Digits, architectures et logiciels informatiques

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Arithmétique des corps finis C software implementation VLIW integer processor IEEE 754 Binary floating-point arithmetic GPGPU Midpoint-radius Computer architecture Reproducibility Sequential multiplier Parallel floating-point summation Determinism Finite element Code generation GPU Performance evaluation Simple power analysis Optimized recursive reconstruction RNS Finite field Polynomial evaluation Code Synthesis Accuracy Elliptic curve Differential power analysis Multiplication scalaire Randomization Sommation précise Précision Parallel implementation Digital Signature Block recombination Floating-Point Numbers Numerical reproducibility Execution-time performance Reproductibilité AMNS Automated design RSA Error-free transformation Certified numerical accuracy Long accumulator Abstract Interpretation OpenTelemac Graphic Processing Units Memory Storage Floating-Point Arithmetic Multi-criteria optimization Toeplitz matrix Parallélisme d'instruction Multi- and many-core architectures Domain decomposition HPC Binary field GPUs Kulisch long accumulator FPGA Compensation PRBG Code synthesis Chaotic map Numerical accuracy Multiplication Performance Scalar multiplication Hydrodynamics simulation Abstract interpretation Modular exponentiation Matrix multiplication Program Transformation Multi-precision Instruction level parallelism Horner scheme Pseudo-random Error-free transformations Arithmétique flottante Numerical Reproducibility Fuzzy intervals Correct rounding Asynchronous iterations Parallelism Logistic map Floating-point arithmetic Parallel algorithms Compensated algorithms Accurate summation Computer arithmetic Cryptography Arithmétique des ordinateurs LU factorization Automated code synthesis Fixed-point arithmetic Elementary functions PerPI BLAS IEEE754 Standard Efficient Software Implementation Cryptographie Modular Exponentiation Binary polynomial multiplication