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NETWORKS
2002
13 years 4 months ago
Isomorphisms of the De Bruijn digraph and free-space optical networks
The de Bruijn digraph B(d, D) has degree d, diameter D, dD vertices and dD+1 arcs. It is usually defined by words of size D on an alphabet of cardinality d, through a cyclic left ...
David Coudert, Afonso Ferreira, Stephane Perennes
DM
2006
79views more  DM 2006»
13 years 5 months ago
Restricted even permutations and Chebyshev polynomials
We study generating functions for the number of even (odd) permutations on n letters avoiding 132 and an arbitrary permutation on k letters, or containing exactly once. In sever...
Toufik Mansour
IPPS
2000
IEEE
13 years 9 months ago
De Bruijn Isomorphisms and Free Space Optical Networks
The de Bruijn digraph Bd;D is usually defined by words of size D on an alphabet of cardinality d, through a cyclic left shift permutation on the words, after which the rightmos...
David Coudert, Afonso Ferreira, Stephane Perennes
ASAP
2000
IEEE
141views Hardware» more  ASAP 2000»
13 years 9 months ago
Bit Permutation Instructions for Accelerating Software Cryptography
Permutation is widely used in cryptographic algorithms. However, it is not well-supported in existing instruction sets. In this paper, two instructions, PPERM3R and GRP, are propo...
Zhijie Shi, Ruby B. Lee
ICCD
2001
IEEE
120views Hardware» more  ICCD 2001»
14 years 1 months ago
Architectural Enhancements for Fast Subword Permutations with Repetitions in Cryptographic Applications
We propose two new instructions, swperm and sieve, that can be used to efficiently complete an arbitrary bit-level permutation of an n-bit word with or without repetitions. Permut...
John Patrick McGregor, Ruby B. Lee