1994 | OriginalPaper | Chapter
Bounds for Resilient Functions and Orthogonal Arrays
Extended Abstract
Authors : Jürgen Bierbrauer, K. Gopalakrishnan, D. R. Stinson
Published in: Advances in Cryptology — CRYPTO ’94
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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Orthogonal arrays (OAs) are basic combinatorial structures, which appear under various disguises in cryptology and the theory of algorithms. Among their applications are universal hashing, authentication codes, resilient and correlation-immune functions, derandomization of algorithms, and perfect local randomizers. In this paper, we give new bounds on the size of orthogonal arrays using Delsarte’s linear programming method. Then we derive bounds on resilient functions and discuss when these bounds can be met.