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ITCC
2003
IEEE
15 years 5 months ago
On Quaternary MacDonald Codes
This paper studies two families of codes over Z4, MacDonald codes of type α and type β. The torsion code, weight distribution, and Gray image properties are studied. Some intere...
Charles J. Colbourn, Manish K. Gupta
DM
2002
104views more  DM 2002»
14 years 11 months ago
Graphs induced by Gray codes
We disprove a conjecture of Bultena and Ruskey [1], that all trees which are cyclic graphs of cyclic Gray codes have diameter 2 or 4, by producing codes whose cyclic graphs are tre...
Elizabeth L. Wilmer, Michael D. Ernst
95
Voted
IWOCA
2009
Springer
193views Algorithms» more  IWOCA 2009»
15 years 6 months ago
Gray Code Compression
An n-bit (cyclic) Gray code is a (cyclic) sequence of all n-bit strings such that consecutive strings differ in a single bit. We describe an algorithm which for every positive int...
Darko Dimitrov, Tomás Dvorák, Petr G...
88
Voted
GECCO
2004
Springer
107views Optimization» more  GECCO 2004»
15 years 5 months ago
An Evolution Strategy Using a Continuous Version of the Gray-Code Neighbourhood Distribution
Abstract. We derive a continuous probability distribution which generates neighbours of a point in an interval in a similar way to the bitwise mutation of a Gray code binary string...
Jonathan E. Rowe, Dzena Hidovic
82
Voted
PAMI
2007
131views more  PAMI 2007»
14 years 11 months ago
The Gray-Code Filter Kernels
—In this paper, we introduce a family of filter kernels—the Gray-Code Kernels (GCK) and demonstrate their use in image analysis. Filtering an image with a sequence of Gray-Code...
Gil Ben-Artzi, Hagit Hel-Or, Yacov Hel-Or