Balancing Cyclic $R$-ary Gray Codes
Keyword(s):
New cyclic $n$-digit Gray codes are constructed over $\{0, 1, \ldots, R-1 \}$ for all $R \ge 3$, $n \ge 2$. These codes have the property that the distribution of the digit changes (transition counts) is close to uniform: For each $n \ge 2$, every transition count is within $R-1$ of the average $R^n/n$, and for the $2$-digit codes every transition count is either $\lfloor{R^2/2} \rfloor$ or $\lceil{R^2/2} \rceil$.
2016 ◽
Vol 10
(1)
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pp. 78-85
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Keyword(s):
1996 ◽
Vol 42
(3)
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pp. 779-789
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2002 ◽
Vol 65
(3)
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pp. 399-406
2016 ◽
pp. 77-87
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Keyword(s):
1983 ◽
Vol 29
(6)
◽
pp. 894-901
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