Information on Result #1070431
Linear OOA(12865, 2097150, F128, 4, 17) (dual of [(2097150, 4), 8388535, 18]-NRT-code), using OOA 4-folding based on linear OA(12865, 8388600, F128, 17) (dual of [8388600, 8388535, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12865, large, F128, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(12866, 2097150, F128, 4, 17) (dual of [(2097150, 4), 8388534, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12873, 2097279, F128, 4, 17) (dual of [(2097279, 4), 8389043, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(12874, 2097300, F128, 4, 17) (dual of [(2097300, 4), 8389126, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(12876, 2097342, F128, 4, 17) (dual of [(2097342, 4), 8389292, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(12877, 2097408, F128, 4, 17) (dual of [(2097408, 4), 8389555, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(12878, 2097429, F128, 4, 17) (dual of [(2097429, 4), 8389638, 18]-NRT-code) | [i] | ||