hi,


Its regarding maximum period LSFR's (Linear feed back
shift registers) used for generating
pseudo random numbers.
A tap sequence for an LFSR is the xor of certain bits
in the register.

For eg: I choose a primitive polynomail mod 2

x^32+x^7+x^5+x^3+x^2+x+1 is a primitive polynomial mod
2(chosen from a table)

It says for an LSFR to be a maximum  period LSFR,
the polynomial from a tap sequence plus constant one
must be a primitive polynomail mod 2

so

polynomail from a top sequence+1=  
x^32+x^7+x^5+x^3+x^2+x+1  (as chosen earlier)

How ever what is the polynomial formed the tap
sequence & how is it found,I dont understand.

It further says the degree of the polynomail is the
length of the shift register.

Here 32 is the degree,hence is a 32 bit shift
register.

It says a primitive polynomial  of degree n is
irreducable  polynomial that divides
(x^2)^(n-1)  +1 but not (x^d)+1 for any d that divides
 (2^n-1)

Now what is the polynomial of degree n?

I thought I already had  one with degree 32.

which is the primitive polynomial of degree n that
divides
(x^2)^(n-1)  +1 but not (x^d)+1 for any d that divides
 (2^n-1)
and where did it come from?

Regards Data.


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