Information on Result #697291
Linear OA(3253, 1024, F32, 27) (dual of [1024, 971, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(3255, 1026, F32, 28) (dual of [1026, 971, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3253, 1026, F32, 27) (dual of [1026, 973, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(3261, 1032, F32, 30) (dual of [1032, 971, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(3255, 1032, F32, 27) (dual of [1032, 977, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(3268, 1039, F32, 33) (dual of [1039, 971, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(3257, 1038, F32, 27) (dual of [1038, 981, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(3270, 1041, F32, 34) (dual of [1041, 971, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(3273, 1044, F32, 35) (dual of [1044, 971, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(3259, 1044, F32, 27) (dual of [1044, 985, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(3276, 1047, F32, 36) (dual of [1047, 971, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(3279, 1050, F32, 37) (dual of [1050, 971, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(3261, 1050, F32, 27) (dual of [1050, 989, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(3282, 1053, F32, 38) (dual of [1053, 971, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(3285, 1056, F32, 39) (dual of [1056, 971, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(3263, 1056, F32, 27) (dual of [1056, 993, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(3289, 1060, F32, 40) (dual of [1060, 971, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(3292, 1063, F32, 41) (dual of [1063, 971, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(3266, 1063, F32, 27) (dual of [1063, 997, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(3295, 1066, F32, 42) (dual of [1066, 971, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(3298, 1068, F32, 43) (dual of [1068, 970, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(3299, 1070, F32, 43) (dual of [1070, 971, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(32103, 1074, F32, 44) (dual of [1074, 971, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(32106, 1077, F32, 45) (dual of [1077, 971, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(32109, 1080, F32, 46) (dual of [1080, 971, 47]-code) | [i] | ✔ | |
| 25 | Linear OA(3288, 1058, F32, 40) (dual of [1058, 970, 41]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(3286, 1058, F32, 39) (dual of [1058, 972, 40]-code) | [i] | ✔ | |