## Cryptology ePrint Archive: Report 2007/338

VHASH Security

Wei Dai and Ted Krovetz

Abstract: VHASH is an almost-delta-universal hash family, designed for exceptional performance on computers that multiply 64-bit quantities efficiently. Changes to the algorithm detailed in this note improve both security and performance over the original 2006 version. Speed is improved through a newly analyzed hash construction which allows the use of lower-degree polynomials. Claimed security is higher due primarily to improved analysis and a change in prime modulus. The result is a hash family capable of hashing cache-resident one kilobyte messages on the Intel Core 2 architecture at a rate of about one-half processor cycle per byte of message with a collision probability of less than $1/2^{61}$.

Category / Keywords: secret-key cryptography / Universal hashing, message authentication, Wegman-Carter, VHASH, VMAC.