1990•IEEE Transactions on Information TheoryRequires access

Linear spans of modified de Bruijn sequences

Gregory L. Mayhew, Solomon W. Golomb

Abstract

Order n modified de Bruijn sequences are created by removing a single zero from the longest run of zeros in period 2/sup n/ de Bruijn sequences. The M sequences are then the natural undisguised linear subset of modified de Bruijn sequences. Theorems are given on the linear spans of modified de Bruijn sequences and data are presented for 4>

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Key concepts: De Bruijn sequence, De Bruijn graph, Combinatorics, Mathematics, Sequence (biology), Order (exchange), Discrete mathematics, Finance