@InProceedings{Riv74b, author = { Ronald L. Rivest }, title = { On the optimality of {Elias}'s algorithm for performing best-match searches }, date = { 1974 }, eventtitle = { IFIP '74 }, OPTyear = { 1974 }, OPTmonth = { August 5--10, }, eventdate = { 1974-08-05/1974-08-10 }, booktitle = { Proceedings of IFIP Congress }, pages = { 678--681 }, venue = { Stockholm, Sweden }, editor = { Jack L. Rosenfeld }, publisher = { North-Holland }, organization = { IFIP }, annote = { This paper unfortunately contains an error in the proof of the theorem in Section~4. The quantity in equation~(8) is not necessarily bounded below by zero, as claimed. Thus the following proof demonstrating the minimal surface area property for spheres does not imply the optimality of Elias's algorithm. A correct optimality proof is claimed by Aslanyan and Danoyan (2014). }, abstract = { We examine a hash-coding algorithm due to Elias for retrieving from a file of fixed-length binary records all the ``best-matches'' (using the Hamming distance) to a given input word. We prove that no balanced hash-coding algorithm can examine fewer buckets on the average than Elias's algorithm does, assuming that every record is equally likely to appear in the file. }, }