An alternative construction of normal numbers

• DOI: 10.5802/jtnb.273
• Publication Date: 2011-09-13T07:41:35Z
• Authors: Edgardo Ugalde
• Keywords: Sequence (biology)

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