%0 Generic %1 couvreur2020algebraic %A Couvreur, Alain %A Randriambololona, Hugues %D 2020 %K geometry %T Algebraic geometry codes and some applications %U http://arxiv.org/abs/2009.01281 %X This article surveys the development of the theory of algebraic geometry codes since their discovery in the late 70's. We summarize the major results on various problems such as: asymptotic parameters, improved estimates on the minimum distance, and decoding algorithms. In addition, we present various modern applications of these codes such as public-key cryptography, algebraic complexity theory, multiparty computation or distributed storage.

@misc{couvreur2020algebraic, abstract = {This article surveys the development of the theory of algebraic geometry codes since their discovery in the late 70's. We summarize the major results on various problems such as: asymptotic parameters, improved estimates on the minimum distance, and decoding algorithms. In addition, we present various modern applications of these codes such as public-key cryptography, algebraic complexity theory, multiparty computation or distributed storage.}, added-at = {2020-09-05T09:17:26.000+0200}, author = {Couvreur, Alain and Randriambololona, Hugues}, biburl = {https://www.bibsonomy.org/bibtex/229e714d3b76a7fc3ced012321242e2fe/simonechiarello}, description = {Algebraic geometry codes and some applications}, interhash = {3b0aa5a42bda05ca84b1efd398cb19a5}, intrahash = {29e714d3b76a7fc3ced012321242e2fe}, keywords = {geometry}, note = {cite arxiv:2009.01281Comment: Survey chapter to appear in "A Concise Encyclopedia of Coding Theory", W.C. Huffman, J.-L. Kim, and P. Sole' Eds., CRC Press}, timestamp = {2020-09-05T09:17:26.000+0200}, title = {Algebraic geometry codes and some applications}, url = {http://arxiv.org/abs/2009.01281}, year = 2020 }