Information on Result #869766
Linear OOA(3282, 524293, F32, 2, 21) (dual of [(524293, 2), 1048504, 22]-NRT-code), using OOA 2-folding based on linear OA(3282, 1048586, F32, 21) (dual of [1048586, 1048504, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(3281, 1048577, F32, 21) (dual of [1048577, 1048496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3273, 1048577, F32, 19) (dual of [1048577, 1048504, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 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 OOA(3293, 524337, F32, 2, 21) (dual of [(524337, 2), 1048581, 22]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3295, 524357, F32, 2, 21) (dual of [(524357, 2), 1048619, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3297, 524369, F32, 2, 21) (dual of [(524369, 2), 1048641, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(3299, 524391, F32, 2, 21) (dual of [(524391, 2), 1048683, 22]-NRT-code) | [i] | ||