%% ToC#304 Razborov-Yekhanin au version 12-19-2007 %% revised LB 12-20 pruned LB 12-20 DB 12-27 %% re-revised LB 12-28 3am, restored first names of authors @INPROCEEDINGS{Amb, AUTHOR = {Andris Ambainis}, TITLE = {Upper bound on the communication complexity of private information retrieval}, BOOKTITLE = {Proc. 32nd Intern. Colloquium on Automata, Languages and Programming (ICALP'97)}, VOLUME = {1256}, SERIES = {Lecture Notes in Computer Science}, publisher = "Springer", YEAR = 1997, PAGES = {401--407}, eprint="icalp:j210805656376051" } @ARTICLE{BFG, AUTHOR = {Richard Beigel and Lance Fortnow and William Gasarch}, TITLE = {A tight lower bound for restricted {PIR} protocols}, JOURNAL = {Computational Complexity}, VOLUME = 15, YEAR = 2006, PAGES = {82--91}, eprint="springer:10.1007/s00037-006-0208-3" } @ARTICLE{BIK, AUTHOR = {Amos Beimel and Yuval Ishai and Eyal Kushilevitz}, TITLE = {General constructions for information-theoretic private information retrieval}, JOURNAL = {J. Computer and System Sciences}, VOLUME = 71, YEAR = 2005, PAGES = {213--247}, eprint="jcss:10.1016/j.jcss.2005.03.002" } @INPROCEEDINGS{BIKR, AUTHOR = {Amos Beimel and Yuval Ishai and Eyal Kushilevitz and Jean-Francios Raymond}, TITLE = {Breaking the ${O}\left(n^{1/(2k-1)}\right)$ barrier for information-theoretic private information retrieval}, BOOKTITLE = {Proc. 43rd FOCS}, publisher = {IEEE Computer Society Press}, YEAR = 2002, PAGES = {261--270}, eprint="focs:10.1109/SFCS.2002.1181949" } @ARTICLE{CGKS, AUTHOR = {Benny Chor and Oded Goldreich and Eyal Kushilevitz and Madhu Sudan}, TITLE = {Private information retrieval}, JOURNAL = {J. ACM}, VOLUME = 45, YEAR = 1998, PAGES = {965--981}, eprint="jacm:10.1145/293347.293350" } @ARTICLE{Gasarch, AUTHOR = {William Gasarch}, TITLE = {A survey on private information retrieval}, JOURNAL = {The Bulletin of the EATCS}, VOLUME = 82, YEAR = 2004, PAGES = {72--107}, pdf="http://www.eatcs.org/bulletin/beatcs82.pdf" } @INPROCEEDINGS{GKST, AUTHOR = {Oded Goldreich and Howard Karloff and Leonard Schulman and Luca Trevisan,}, TITLE = {Lower bounds for linear locally decodable codes and private information retrieval}, BOOKTITLE = {Proc. 17th Computational Complexity Conf. (CCC'02)}, publisher = {IEEE Computer Society Press}, YEAR = 2002, PAGES = {175--183}, eprint="ccc:10.1109/CCC.2002.1004353" } @BOOK{Isaacs, AUTHOR = {I. Martin Isaacs}, TITLE = {Character theory of finite groups}, PUBLISHER = {Academic Press}, YEAR = 1976 } @ARTICLE{Itoh_upper, AUTHOR = {Toshiya Itoh}, TITLE = {Efficient private information retrieval}, JOURNAL = {IEICE Trans. Fund. of Electronics, Commun. and Comp. Sci.}, VOLUME = "E82-A", YEAR = 1999, PAGES = {11--20} } @ARTICLE{Itoh_lower, AUTHOR = {Toshiya Itoh}, TITLE = {On lower bounds for the communication complexity of private information retrieval}, JOURNAL = {IEICE Trans. Fund. of Electronics, Commun. and Comp. Sci.}, VOLUME = "E82-A", YEAR = 2001, PAGES = {157--164} } @INPROCEEDINGS{KT, AUTHOR = {Jonathan Katz and Luca Trevisan}, TITLE = {On the efficiency of local decoding procedures for error-correcting codes}, BOOKTITLE = {Proc. 32nd STOC}, publisher = {ACM Press}, YEAR = 2000, PAGES = {80--86}, eprint="stoc:10.1145/335305.335315" } @TECHREPORT{KY, AUTHOR = {Kiran S. Kedlaya and Sergey Yekhanin}, TITLE = {Locally decodable codes from nice subsets of finite fields and prime factors of {M}ersenne numbers}, TYPE = {Electronic Colloquium on Computational Complexity (ECCC)}, NUMBER = {TR07-040}, YEAR = {2007}, eprint="eccc:TR07-040" } @ARTICLE{KdW, AUTHOR = {Iordanis Kerenidis and Ronald de Wolf}, TITLE = {Exponential lower bound for 2-query locally decodable codes via a quantum argument}, JOURNAL = {J. of Computer and System Sciences}, VOLUME = 69, YEAR = 2004, PAGES = {395--420}, eprint="jcss:10.1016/j.jcss.2004.04.007" } @MASTERSTHESIS{Mann, AUTHOR = {Eran Mann}, TITLE = {Private access to distributed information}, SCHOOL = {Technion - Israel Institute of Technology}, ADDRESS = {Haifa}, YEAR = 1998 } @INPROCEEDINGS{RY, AUTHOR = {Alexander Razborov and Sergey Yekhanin}, TITLE = {An ${\Omega}(n^{1/3})$ lower bound for bilinear group based private information retrieval}, BOOKTITLE = {Proc. 47th FOCS}, publisher = {IEEE Computer Society Press}, YEAR = 2006, PAGES = {739--748}, eprint="focs:10.1109/FOCS.2006.10" } @BOOK{VdWaerden, AUTHOR = {B. L. van der Waerden}, TITLE = {Algebra}, PUBLISHER = {Springer}, YEAR = 2003 } @INPROCEEDINGS{WdW, AUTHOR = {Stephanie Wehner and Ronald de Wolf}, TITLE = {Improved lower bounds for locally decodable codes and private information retrieval}, BOOKTITLE = {Proc. 32nd Intern. Colloquium on Automata, Languages and Programming (ICALP'05)}, VOLUME = {3580}, SERIES = {Lecture Notes in Computer Science}, publisher = {Springer}, YEAR = 2005, PAGES = {1424--1436}, eprint="icalp:1utwmhj4me3lr582" } @INCOLLECTION{Weintraub, AUTHOR = {Steven H. Weintraub}, TITLE = {Representation theory of finite groups: algebra and arithmetic}, PUBLISHER = {AMS}, SERIES = {Graduate {S}tudies in {M}athematics}, VOLUME = 59, YEAR = 2003 } @INPROCEEDINGS{WY, AUTHOR = {David Woodruff and Sergey Yekhanin}, TITLE = {A geometric approach to information-theoretic private information retrieval}, BOOKTITLE = {Proc. 20th IEEE Computational Complexity Conf. (CCC'05)}, publisher = {IEEE Computer Society Press}, YEAR = 2005, PAGES = {275--284}, eprint="ccc:10.1109/CCC.2005.2" } @PHDTHESIS{Y_thesis, AUTHOR = {Sergey Yekhanin}, TITLE = {Locally decodable codes and private information retrieval schemes}, SCHOOL = {Massachusetts Institute of Technology}, YEAR = 2007 } @INPROCEEDINGS{Y_nice, AUTHOR = {Sergey Yekhanin}, TITLE = {Towards $3$-query locally decodable codes of subexponential length}, BOOKTITLE = {Proc. 39th STOC}, publisher = {ACM Press}, YEAR = 2007, PAGES = {266--274}, eprint="stoc:10.1145/1250790.1250830" }