SLIDE 28 2006-11-21 28 Records, iA= { 1,2,4,16,21} Characteristic Polynomial, fA(z) = (z-1).(z-2).(z-4).(z-16).(z-21) Evaluation of fA(z) at { -1,-2,-3,-4} = { 69,12,60,61}
z
fA(z) 69 12 60 61 45 55 fB(z) 1 7 60 fA/ fB 69 22 1
Records, iB= { 1,2,6,21} Characteristic Polynomial, fB(z) = (z-1).(z-2).(z-6).(z-21) Evaluation of fB(z) at { -1,-2,-3,-4} = { 1,7,60,45} Send values { 1,7,60,45} to A The zeros of numerator and denominator are { 4,16} and { 6} respectively. Hence { 4,16} is not in B and { 6} is not in A. Use the generalized Vandermonde system to derive f∆A/ f∆B f∆A/ f∆B= z2+ 51z+ 64 z+ 65
A B
Send record { 6} to A Send records { 4,16} to B
5.
CPISync (3) (3)
- Note that all arithmetic
- perations are performed
in finite field F71