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Table 2 Parameters of improved CSS-T codes obtained with binary Reed–Muller, cyclic and extended cyclic codes (using the greedy construction)

From: An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance

s

Reed–Muller

5

[[32, 4, 4]]

7

[[128, 26, 4]]

9

[[512, 133, 4]]

10

[[1024, 125, 8]]

s

Cyclic

5

[[31, 4, 3]]

8

[[255, 23, 7]]

9

[[511, 149, 3]]

10

[[1023, 219, 5]]

10

[[1023, 193, 7]]

10

[[1023, 133, 11]]

s

Extended cyclic

5

[[32, 4, 4]]

8

[[256, 22, 8]]

9

[[512, 148, 4]]

10

[[1024, 217, 6]]

10

[[1024, 192, 8]]

10

[[1024, 133, 12]]