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