Information on Result #697284
Linear OA(3264, 1027, F32, 33) (dual of [1027, 963, 34]-code), using construction X applied to Ce(32) ⊂ Ce(30) based on
- linear OA(3263, 1024, F32, 33) (dual of [1024, 961, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3261, 1024, F32, 31) (dual of [1024, 963, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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 | OA(8107, 1027, S8, 33) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1680, 1027, S16, 33) | [i] | ||
| 3 | Linear OA(3283, 1091, F32, 33) (dual of [1091, 1008, 34]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3285, 1103, F32, 33) (dual of [1103, 1018, 34]-code) | [i] | ||
| 5 | Linear OA(3287, 1125, F32, 33) (dual of [1125, 1038, 34]-code) | [i] | ||
| 6 | Linear OA(3289, 1131, F32, 33) (dual of [1131, 1042, 34]-code) | [i] | ||
| 7 | Linear OA(3291, 1147, F32, 33) (dual of [1147, 1056, 34]-code) | [i] | ||
| 8 | Linear OA(3292, 1149, F32, 33) (dual of [1149, 1057, 34]-code) | [i] | ||
| 9 | Linear OOA(3264, 513, F32, 2, 33) (dual of [(513, 2), 962, 34]-NRT-code) | [i] | OOA Folding | |