Union Bound

Format of data files is suitable for gnuplot.

Reed-Muller Codes

Bit Error Ratio

(8,4)
(16,5) (16,11)
(32,6) (32,16) (32,26)
(64,7) (64,22) (64,42) (64,57)
(128,8) (128,29) (128,64) (128,99)
(256,9) (256,37) (256,93) (256,163)
(512,10) (512,46) (512,130) (512,382)

Block Error Probability

(8,4)
(16,5) (16,11)
(32,6) (32,16) (32,26)
(64,7) (64,22) (64,42) (64,57)
(128,8) (128,29) (128,64) (128,99)
(256,9) (256,37) (256,93) (256,163)
(512,10) (512,46) (512,130) (512,382)

Extended Binary Primitive BCH Codes

Bit Error Ratio

(8,4)
(16,5) (16,7) (16,11)
(32,6) (32,11) (32,16) (32,21) (32,26)
(64,7) (64,10) (64,16) (64,18) (64,24) (64,30) (64,36) (64,39) (64,45) (64,51) (64,57)
(128,8) (128,15) (128,22) (128,29) (128,36) (128,43) (128,50) (128,57) (128,64) (128,71) (128,78) (128,85) (128,92) (128,99) (128,106) (128,113) (128,120)
(256,9) (256,13) (256,21) (256,29) (256,37) (256,45) (256,47) (256,55) (256,63) (256,207) (256,215) (256,223) (256,231) (256,239) (256,247)

Block Error Probability

(8,4)
(16,5) (16,7) (16,11)
(32,6) (32,11) (32,16) (32,21) (32,26)
(64,7) (64,10) (64,16) (64,18) (64,24) (64,30) (64,36) (64,39) (64,45) (64,51) (64,57)
(128,8) (128,15) (128,22) (128,29) (128,36) (128,43) (128,50) (128,57) (128,64) (128,71) (128,78) (128,85) (128,92) (128,99) (128,106) (128,113) (128,120)
(256,9) (256,13) (256,21) (256,29) (256,37) (256,45) (256,47) (256,55) (256,63) (256,207) (256,215) (256,223) (256,231) (256,239) (256,247)

Binary Primitive BCH Codes

Bit Error Ratio

(7,4)
(15,5) (15,7) (15,11)
(31,6) (31,11) (31,16) (31,21) (31,26)
(63,7) (63,10) (63,16) (63,18) (63,24) (63,30) (63,36) (63,39) (63,45) (63,51) (63,57)
(127,8) (127,15) (127,22) (127,29) (127,36) (127,43) (127,50) (127,57) (127,63) (127,71) (127,78) (127,85) (127,92) (127,99) (127,106) (127,113) (127,120)
(255,9) (255,13) (255,21) (255,29) (255,37) (255,45) (255,47) (255,55) (255,63) (255,207) (255,215) (255,223) (255,231) (255,239) (255,247)

Block Error Probability

(7,4)
(15,5) (15,7) (15,11)
(31,6) (31,11) (31,16) (31,21) (31,26)
(63,7) (63,10) (63,16) (63,18) (63,24) (63,30) (63,36) (63,39) (63,45) (63,51) (63,57)
(127,8) (127,15) (127,22) (127,29) (127,36) (127,43) (127,50) (127,57) (127,64) (127,71) (127,78) (127,85) (127,92) (127,99) (127,106) (127,113) (127,120)
(255,9) (255,13) (255,21) (255,29) (255,37) (255,45) (255,47) (255,55) (255,63) (255,207) (255,215) (255,223) (255,231) (255,239) (255,247)
Created by M. Terada, J. Asatani and T. Koumoto.