Combinatorics Seminar

When: Sunday, June 7, 10am Where: Schreiber 309 Speaker: Itzhak Tamo, Tel Aviv U. Title: Locally Recoverable Codes

Abstract:

Recently the notion of a locally recoverable (LRC) code was introduced in the field of distributed storage with the goal of combating erasures. Such a code enables a recovery of any symbol of the encoding by accessing a relatively small number of other encoded symbols. In the talk, LRC codes that attain the maximum possible value of the distance for a given locality parameter and code's cardinality will be presented. These codes are based on polynomial evaluations and can be viewed as a natural generalization of Reed-Solomon codes. We will conclude with some extensions of the code construction.