VLSI Architectures for Modern Error-Correcting Codes

List of Tables

1.1 Conjugacy classes, cyclotomic cosets, and minimal polynomials for GF(2A)

1.2 Power representation vs. polynomial representation for elements of GF(2⁴) constructed using p(x) = x⁴ + x + 1

1.3 Mapping between power representation and standard basis representation using non-primitive irreducible polynomial x⁴+ x³ + x² + x + 1 for elements of GF(2⁴)

4.1 Power representation vs. standard basis representation with p(x) = x³ + x + 1 for elements of GF(2³)

4.2 Example variable and polynomial values in the BMA

4.3 Example variable values in the riBM algorithm.

5.1 Terms need to be added to compute ua,s(l)(αi)

5.2 Terms for the coefficients of Qˇ(0,y) [76]

5.3 Example binomial coefficients when t = 9 and d = 5

5.4 Powers of θ that ...