A Linear Algebraic Approach to Multisequence Shift-Register Synthesis

作者:Sidorenko V R*; Schmidt G
来源:Problems of Information Transmission, 2011, 47(2): 149-165.
DOI:10.1134/S0032946011020062

摘要

An efficient algorithm which synthesizes all shortest linear-feedback shift registers generating K given sequences with possibly different lengths over a field is derived, and its correctness is proved. The proposed algorithm generalizes the Berlekamp-Massey and Feng-Tzeng algorithms and is based on Massey's ideas. The time complexity of the algorithm is O(K lambda N) less than or similar to O(KN2), where N is the length of a longest sequence and lambda is the linear complexity of the sequences.

  • 出版日期2011-6