Journal of Electrical and Computer Engineering

Research Article

Reduced Complexity Iterative Decoding of 3D-Product Block Codes Based on Genetic Algorithms

Table 2

Optimized values of 𝛼 and 𝛽 for IGAD1.
Optimized values 𝛼 ( πœƒ )
( 3 1 , 2 1 , 5 ) 3 ( 0 , 1 , 2 , 3 , 5 , 7 , 9 , 1 0 , 1 1 , 1 5 , 1 6 , 1 7 , 1 9 , 1 9 , 1 9 , 1 5 , 1 5 , 1 5 , 1 9 , 1 9 , 1 9 , 1 7 , 1 7 , 1 7 ) β‹… 1 0 βˆ’ 2 𝛼 ( πœƒ ) = 0 . 2 , 2 4 ≀ πœƒ ≀ 4 4
( 1 6 , 1 1 , 4 ) 3 O p t i m i z e d 𝛼 ( 0 , 6 , 2 0 , 3 0 , 3 0 , 2 0 , 3 0 , 2 3 , 2 0 , 5 0 , 2 0 , 5 0 , 2 0 , 3 0 , 3 0 , 2 0 , 3 3 , 3 0 , 3 0 , 3 0 , 4 0 , 4 0 , 4 0 , 3 0 , 4 0 , 3 0 , 3 5 , 4 0 , 4 0 , 4 0 , 4 0 , 3 2 , 4 0 , 2 3 , 3 0 , 4 0 ) β‹… 1 0 βˆ’ 2
( 1 6 , 1 1 , 4 ) 3  nonoptimized   𝛼 𝛼 0 , 0 . 1 , 0 . 0 1 , 0 . 1 , 0 . 1 , 0 . 0 2 , 0 . 1 , 0 . 1 , 0 . 0 3 , 0 . 1 , 0 . 1 , 0 . 0 5 , 0 . 1 , 0 . 1 , 0 . 0 7 , 0 . 1 , 0 . 1 , 0 . 0 9 ( πœƒ ) = 0 . 1 , 1 8 ≀ πœƒ ≀ 3 5
Optimized values 𝛽 ( πœƒ )
All codes ( 0 , 2 0 , 4 0 , 6 0 , 8 0 ) β‹… 1 0 βˆ’ 2 𝛽 ( πœƒ ) = 1 , f o r a l l πœƒ , πœƒ β‰₯ 5