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Some necessary conditions for feedback functions of de Bruijn sequences

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De Bruijn sequence is an important kind of nonlinear shift register sequence, which has a very wide range of applications in the fields of communication and cryptography. From the perspective of the relationship between linear terms, quadratic terms and cubic terms in the feedback functions of de Bruijn sequences, some new necessary conditions for feedback functions of de Bruijn sequences are obtained. Some examples show that the known necessary conditions cannot deduce the proposed necessary conditions.

eISSN:
2444-8656
Langue:
Anglais
Périodicité:
1 fois par an
Sujets de la revue:
Sciences de la vie, autres, Mathématiques, Mathématiques appliquées, Mathématiques générales, Physique