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An efficient implementation of the D-homomorphism for generation of de Bruijn sequences

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4 Author(s)
Taejoo Chang ; Agency for Defense Dev., Daejeon, South Korea ; Bongjoo Park ; Yun Hee Kim ; Iickho Song

An efficient implementation of the D-homomorphism for generating de Bruijn (1946) sequences is presented. The number of exclusive-or operations required to generate the next bit for de Bruijn sequences of order n from a de Bruijn function of order k is shown to be approximately k(2W(n-k)-1), where W(r) is the number of one's in the binary representation of r: therefore, the number of required operations can be reduced to k if the de Bruijn function is selected appropriately. As an application, the stream cipher is indicated

Published in:

IEEE Transactions on Information Theory  (Volume:45 ,  Issue: 4 )