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» Arbitrary Bit Permutations in One or Two Cycles
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JCT
2010
112views more  JCT 2010»
13 years 3 months ago
Annular embeddings of permutations for arbitrary genus
In the symmetric group on a set of size 2n, let P2n denote the conjugacy class of involutions with no fixed points (equivalently, we refer to these as “pairings”, since each ...
I. P. Goulden, William Slofstra
ICCD
2000
IEEE
106views Hardware» more  ICCD 2000»
13 years 9 months ago
Fast Subword Permutation Instructions Using Omega and Flip Network Stages
This paper proposes a new way of efficiently doing arbitrary ¢ -bit permutations in programmable processors modeled on the theory of omega and flip networks. The new omflip ins...
Xiao Yang, Ruby B. Lee
ARITH
2007
IEEE
13 years 11 months ago
Performing Advanced Bit Manipulations Efficiently in General-Purpose Processors
This paper describes a new basis for the implementation of a shifter functional unit. We present a design based on the inverse butterfly and butterfly datapath circuits that perfo...
Yedidya Hilewitz, Ruby B. Lee
RSA
2008
94views more  RSA 2008»
13 years 4 months ago
The cycle structure of two rows in a random Latin square
Let L be chosen uniformly at random from among the latin squares of order n 4 and let r, s be arbitrary distinct rows of L. We study the distribution of r,s, the permutation of t...
Nicholas J. Cavenagh, Catherine S. Greenhill, Ian ...
ICCD
2002
IEEE
128views Hardware» more  ICCD 2002»
14 years 1 months ago
Subword Sorting with Versatile Permutation Instructions
Subword parallelism has succeeded in accelerating many multimedia applications. Subword permutation instructions have been proposed to efficiently rearrange subwords in or among r...
Zhijie Shi, Ruby B. Lee