Bell Communications Research, Inc.

Sivaramakrishnan Rajagopalan

Ramarathnam R Venkatesan

William A Aiello

Victor K Wei

Dennis N Grinberg

A method for generating random bits which is as fast as popular generators and which has provable strong properties. The method makes use of the unpredictability properties of a relatively slow cryptographically strong generator and the rapid mixing properties of random walks on expander graphs. Use of the cryptographically strong generator is typically restricted to a small off-line or a preprocessing step. Subsequent bits are produced with a few register operations per bit. The method and concomitant generator are useful in at least two different types of applications: for faster reliable simulations (or randomizing algorithms), and cryptographic/encryption schemes.

Pseudo-random generator

Methodology and concomitant circuitry for compacting an incoming data stream into an outgoing compacted data stream utilize a plurality of memories or lists. The incoming data stream is partitioned into a sequence of tokens. A primary memory stores each token, with the most recently appearing token occupying the top rank in the list. A secondary memory stores the location in the primary memory of each of a subset of tokens. The compacted data stream is generated as a coded representation of the token itself, the position of the token in the primary memory, or the position in secondary memory of the location of the token in primary memory. A tertiary list may also be employed to generate a coded representation of the position in the tertiary list of the secondary list. Searching of the lists is effected with a hashing function. Updating of the lists utilizes tree splaying.

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Brookline, MA, United States of America

Sivaramakrishnan Rajagopalan