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An alternative construction of normal numbers

Edgardo Ugalde — 2000

Journal de théorie des nombres de Bordeaux

A new class of b -adic normal numbers is built recursively by using Eulerian paths in a sequence of de Bruijn digraphs. In this recursion, a path is constructed as an extension of the previous one, in such way that the b -adic block determined by the path contains the maximal number of different b -adic subblocks of consecutive lengths in the most compact arrangement. Any source of redundancy is avoided at every step. Our recursive construction is an alternative to the several well-known concatenative...

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