AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |
Back to Blog
Linear feedback shift register example7/31/2023 gen () sage: fill = key = n = 20 sage: L = lfsr_sequence ( key, fill, 20 ) L sage: from _massey import berlekamp_massey sage: g = berlekamp_massey ( L ) g x^4 x^3 1 sage: ( 1 ) / ( g. Sage: F = GF ( 2 ) l = F ( 1 ) o = F ( 0 ) sage: F = GF ( 2 ) S = LaurentSeriesRing ( F, 'x' ) x = S. OUTPUT: autocorrelation sequence of \(L\) L – a periodic sequence of elements of ZZ or GF(2) must have length \(p\) Timothy Brock (): added lfsr_autocorrelation and Timothy Brock (2005-11): added lfsr_sequence with code modified from This is the function of the Berlekamp-Massey algorithm, implemented However, this sequence of period 15 canīe “cracked” (i.e., a procedure to reproduce \(g(x)\)) by knowing only 8 terms! The sequence of \(0,1\)’s is periodic with period \(P=2^4-1=15\) and satisfies The data input to the LFSR is generated by XOR-ing or XNOR-ing the tap bits the remaining bits function as a standard shift register.
0 Comments
Read More
Leave a Reply. |