Information on Result #697300
Linear OA(3241, 1024, F32, 21) (dual of [1024, 983, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(3243, 1026, F32, 22) (dual of [1026, 983, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(3241, 1026, F32, 21) (dual of [1026, 985, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(3249, 1032, F32, 24) (dual of [1032, 983, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(3243, 1032, F32, 21) (dual of [1032, 989, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(3255, 1038, F32, 26) (dual of [1038, 983, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(3245, 1038, F32, 21) (dual of [1038, 993, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(3261, 1044, F32, 28) (dual of [1044, 983, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(3247, 1044, F32, 21) (dual of [1044, 997, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(3267, 1050, F32, 30) (dual of [1050, 983, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(3249, 1050, F32, 21) (dual of [1050, 1001, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3274, 1057, F32, 33) (dual of [1057, 983, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(3277, 1060, F32, 34) (dual of [1060, 983, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(3280, 1063, F32, 35) (dual of [1063, 983, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(3283, 1066, F32, 36) (dual of [1066, 983, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(3286, 1068, F32, 37) (dual of [1068, 982, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(3287, 1070, F32, 37) (dual of [1070, 983, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(3291, 1074, F32, 38) (dual of [1074, 983, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(3294, 1077, F32, 39) (dual of [1077, 983, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(3297, 1080, F32, 40) (dual of [1080, 983, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(32100, 1083, F32, 41) (dual of [1083, 983, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(32103, 1086, F32, 42) (dual of [1086, 983, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(3276, 1058, F32, 34) (dual of [1058, 982, 35]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(3274, 1058, F32, 32) (dual of [1058, 984, 33]-code) | [i] | ✔ | |