Multiple independent binary bit streams per clock cycle are produced from a single underlying shift register based keystream generator with multiple combining circuits. Logic designs are derived from de Bruijn functions. Multiplicity of keystream facilitates using just a single cryptographic device to support high speed, large quantity data transfers over networks. Low cost implementations are also possible since the underlying algorithm operates at some fraction of the network data rate. Empirical tests indicate the keystream satisfies many statistical randomness metrics. >

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>