Geodesic
The Shannon function for calculating the Arnold complexity of length $2^n$ binary words for arbitrary~$n$
Diskretnyj analiz i issledovanie operacij, Tome 21 (2014) no. 2, pp. 59-75

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The exact value of the Shannon function for fast calculating the Arnold complexity of length $2^n$ binary words is obtained for $n=m^2$, $n=m^2+m$, and $n=m^2+2m$, $m\geq2$. Thus the exact value of the Shannon function is determined for an arbitrary $n$. Bibliogr. 6.
Keywords: binary word, complexity of word, Arnold complexity, Shannon function. 
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     author = {Yu. V. Merekin},
     title = {The {Shannon} function for calculating the {Arnold} complexity of length $2^n$ binary words for arbitrary~$n$},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {59--75},
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     year = {2014},
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Yu. V. Merekin. The Shannon function for calculating the Arnold complexity of length $2^n$ binary words for arbitrary~$n$. Diskretnyj analiz i issledovanie operacij, Tome 21 (2014) no. 2, pp. 59-75. http://geodesic.mathdoc.fr/item/DA_2014_21_2_a4/