Information on Result #696718
Linear OA(3268, 32776, F32, 23) (dual of [32776, 32708, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,10]) based on
- linear OA(3267, 32769, F32, 23) (dual of [32769, 32702, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(3261, 32769, F32, 21) (dual of [32769, 32708, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 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 | Linear OA(3280, 32820, F32, 23) (dual of [32820, 32740, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3282, 32840, F32, 23) (dual of [32840, 32758, 24]-code) | [i] | ||
| 3 | Linear OA(3284, 32852, F32, 23) (dual of [32852, 32768, 24]-code) | [i] | ||
| 4 | Linear OA(3286, 32874, F32, 23) (dual of [32874, 32788, 24]-code) | [i] | ||
| 5 | Linear OOA(3268, 17743, F32, 2, 23) (dual of [(17743, 2), 35418, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (45, 68, 17743)-net over F32 | [i] | ||
| 7 | Linear OOA(3268, 16388, F32, 2, 23) (dual of [(16388, 2), 32708, 24]-NRT-code) | [i] | OOA Folding | |