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Table 1 Comparison of the upper Bhattacharyya parameter bounds of \(G_5\), where Z is the abbreviation of Z(W)

From: Computing tight upper bounds for Bhattacharyya parameters of binary polar code kernels with arbitrary dimension

Index

Results of [3]

Results of the proposed method

0

16Z

\(5Z-10Z^2+10Z^3-5Z^4+Z^5\)

1

\(8Z^2\)

\(6Z^2-9Z^3+5Z^4-Z^5\)

2

\(4Z^2\)

\(3Z^2-Z^3-2Z^4+Z^5\)

3

\(2Z^2\)

\(Z^2+Z^4-Z^5\)

4

\(Z^4\)

\(Z^4\)