binary de Bruijn sequence

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:de_Bruijn_sequence
combinatorics
gptkbp:alphabet 2
binary
gptkbp:application coding theory
cryptography
combinatorics
gptkbp:containsAllSubstringsOfLength n
gptkbp:cycle true
gptkbp:firstDescribed 1946
gptkbp:generation gptkb:de_Bruijn_graph
Lyndon word concatenation
prefer-one algorithm
https://www.w3.org/2000/01/rdf-schema#label binary de Bruijn sequence
gptkbp:length 2^n
gptkbp:minimumPeriod 2^n
gptkbp:namedAfter gptkb:Nicolaas_Govert_de_Bruijn
gptkbp:property every possible binary string of length n appears exactly once as a substring
gptkbp:relatedTo gptkb:Gray_code
gptkb:Eulerian_cycle
Lyndon word
gptkbp:usedIn pseudo-random number generation
shift register sequences
universal cycles
gptkbp:bfsParent gptkb:de_Bruijn_sequence
gptkbp:bfsLayer 8