[seqfan] Re: What is the name for a string that contains every k-digit base-b substring?
Charles Greathouse
charles.greathouse at case.edu
Mon Mar 19 17:48:07 CET 2012
> What is the name for a string that contains every k-digit base-b substring?
For some b and every k, I've seen the term disjunctive sequence
http://en.wikipedia.org/wiki/Disjunctive_sequence
but I haven't seen a term for fixed k.
Charles Greathouse
Analyst/Programmer
Case Western Reserve University
On Mon, Mar 19, 2012 at 12:38 PM, Marc LeBrun <mlb at well.com> wrote:
> What is the name for a string that contains every k-digit base-b substring?
>
> For example, with k=3 and b=10 this would be a string that contains every
> three-digit decimal number as a substring.
>
> I'm interested in OEIS sequences related to this property (eg shortest,
> number-of, etc) but need some idea what they are called to search on it!
>
> Thanks!
> --MLB
>
>
>
>
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