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