Information on Result #618138
Linear OA(3231, 1024, F32, 16) (dual of [1024, 993, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3239, 1057, F32, 16) (dual of [1057, 1018, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3240, 1068, F32, 16) (dual of [1068, 1028, 17]-code) | [i] | ||
| 3 | Linear OA(3241, 1070, F32, 16) (dual of [1070, 1029, 17]-code) | [i] | ||
| 4 | Linear OA(3242, 1088, F32, 16) (dual of [1088, 1046, 17]-code) | [i] | ||
| 5 | Linear OA(3243, 1090, F32, 16) (dual of [1090, 1047, 17]-code) | [i] | ||
| 6 | Linear OA(3244, 1118, F32, 16) (dual of [1118, 1074, 17]-code) | [i] | ||
| 7 | Linear OA(3245, 1123, F32, 16) (dual of [1123, 1078, 17]-code) | [i] | ||
| 8 | Linear OA(3242, 1036, F32, 16) (dual of [1036, 994, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(3243, 1038, F32, 16) (dual of [1038, 995, 17]-code) | [i] | ||
| 10 | Linear OA(3244, 1090, F32, 16) (dual of [1090, 1046, 17]-code) | [i] | ||
| 11 | Linear OA(3245, 1101, F32, 16) (dual of [1101, 1056, 17]-code) | [i] | ||
| 12 | Linear OA(3233, 1026, F32, 17) (dual of [1026, 993, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(3231, 1026, F32, 16) (dual of [1026, 995, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(3236, 1029, F32, 18) (dual of [1029, 993, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(3232, 1029, F32, 16) (dual of [1029, 997, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(3239, 1032, F32, 19) (dual of [1032, 993, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(3233, 1032, F32, 16) (dual of [1032, 999, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(3242, 1035, F32, 20) (dual of [1035, 993, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(3234, 1035, F32, 16) (dual of [1035, 1001, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(3245, 1038, F32, 21) (dual of [1038, 993, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(3235, 1038, F32, 16) (dual of [1038, 1003, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(3248, 1041, F32, 22) (dual of [1041, 993, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(3236, 1041, F32, 16) (dual of [1041, 1005, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(3251, 1044, F32, 23) (dual of [1044, 993, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(3237, 1044, F32, 16) (dual of [1044, 1007, 17]-code) | [i] | ✔ | |
| 26 | Linear OA(3254, 1047, F32, 24) (dual of [1047, 993, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(3238, 1047, F32, 16) (dual of [1047, 1009, 17]-code) | [i] | ✔ | |
| 28 | Linear OA(3257, 1050, F32, 25) (dual of [1050, 993, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(3260, 1053, F32, 26) (dual of [1053, 993, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(3263, 1056, F32, 27) (dual of [1056, 993, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(3267, 1060, F32, 28) (dual of [1060, 993, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(3270, 1063, F32, 29) (dual of [1063, 993, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(3273, 1066, F32, 30) (dual of [1066, 993, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(3277, 1070, F32, 31) (dual of [1070, 993, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(3266, 1058, F32, 28) (dual of [1058, 992, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 36 | Linear OOA(3231, 128, F32, 16, 16) (dual of [(128, 16), 2017, 17]-NRT-code) | [i] | OA Folding and Stacking | |