Information on Result #870649
Linear OOA(3264, 513, F32, 2, 33) (dual of [(513, 2), 962, 34]-NRT-code), using OOA 2-folding based on linear OA(3264, 1026, F32, 33) (dual of [1026, 962, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3264, 1027, F32, 33) (dual of [1027, 963, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] 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
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
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 OOA(3281, 557, F32, 2, 33) (dual of [(557, 2), 1033, 34]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3283, 577, F32, 2, 33) (dual of [(577, 2), 1071, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(3285, 589, F32, 2, 33) (dual of [(589, 2), 1093, 34]-NRT-code) | [i] | ||
| 4 | Linear OOA(3287, 611, F32, 2, 33) (dual of [(611, 2), 1135, 34]-NRT-code) | [i] | ||
| 5 | Linear OOA(3289, 617, F32, 2, 33) (dual of [(617, 2), 1145, 34]-NRT-code) | [i] | ||
| 6 | Linear OOA(3291, 633, F32, 2, 33) (dual of [(633, 2), 1175, 34]-NRT-code) | [i] | ||
| 7 | Digital (31, 64, 486)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |