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ITCC
2003
IEEE
14 years 25 days 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
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 7 months ago
Constant-Weight Gray Codes for Local Rank Modulation
We consider the local rank-modulation scheme in which a sliding window going over a sequence of real-valued variables induces a sequence of permutations. The local rankmodulation, ...
Moshe Schwartz
IPPS
2000
IEEE
13 years 12 months ago
Gray Codes for Torus and Edge Disjoint Hamiltonian Cycles
Lee distance Gray codes for -ary Ò-cubes and torus networks are presented. Using these Lee distance Gray codes, it is further shown how to directly generate edge disjoint Hamilto...
Myung M. Bae, Bella Bose
DM
2002
104views more  DM 2002»
13 years 7 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