This volume presents the proceedings of the firstFrench-Soviet workshop on algebraic coding, held in Paris inJuly 1991.The papers in the volume fall rather naturally into fourcategories:- Applications of exponential sums- Covering radius- Constructions-Decoding.

On the correlation of sequences.- On Gaussian sums for finite fields and elliptic curves.- Exponential sums and constrained error-correcting codes.- Constructions of codes with covering radius 2.- On perfect weighted coverings with small radius.- An extremal problem related to the covering radius of binary codes.- Bounds on covering radius of dual product codes.- Remarks on greedy codes.- On nonbinary codes with fixed distance.- Saddle point techniques in asymptotic coding theory.- Non-binary low rate convolutional codes with almost optimum weight spectrum.- Position recovery on a circle based on coding theory.- The lower bound for cardinality of codes correcting errors and defects.- Soft decoding for block codes obtained from convolutional codes.- Partial ordering of error patterns for maximum likelihood soft decoding.- A fast matrix decoding algorithm for rank-error-correcting codes.- A fast search for the maximum element of the fourier spectrum.- Coding theorem for discrete memoryless channels with given decision rule.- Decoding for multiple-access channels.