@inproceedings{dvir2010matching, author = {Dvir, Zeev and Gopalan, Parikshit and Yekhanin, Sergey}, title = {Matching Vector Codes}, booktitle = {FOCS 2010}, year = {2010}, month = {October}, abstract = {Starting with the work of Yekhanin, a new family of locally decodable codes based on vectors with restricted dot products has been discovered. We refer to such codes as Matching Vector Codes. In this work, we present a new "polynomial" view of these codes, which uncovers certain similarities to the classical Reed Muller codes. We use this to give decoding algorithms for such codes that can correct a constant fraction of errors. We also present lower bounds on the length of any such code.}, publisher = {IEEE}, url = {http://approjects.co.za/?big=en-us/research/publication/matching-vector-codes/}, edition = {FOCS 2010}, }