Information on Result #689122
Linear OA(9149, 531470, F9, 27) (dual of [531470, 531321, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,11]) based on
- linear OA(9145, 531442, F9, 27) (dual of [531442, 531297, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(9121, 531442, F9, 23) (dual of [531442, 531321, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(94, 28, F9, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,9)), 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(9150, 531471, F9, 27) (dual of [531471, 531321, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9149, 531470, F9, 2, 27) (dual of [(531470, 2), 1062791, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9149, 531470, F9, 3, 27) (dual of [(531470, 3), 1594261, 28]-NRT-code) | [i] | ||
| 4 | Digital (122, 149, 531470)-net over F9 | [i] | ||
| 5 | Linear OA(9150, 531472, F9, 27) (dual of [531472, 531322, 28]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(9149, 265735, F9, 2, 27) (dual of [(265735, 2), 531321, 28]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9149, 177156, F9, 3, 27) (dual of [(177156, 3), 531319, 28]-NRT-code) | [i] | ||
| 8 | Linear OOA(9149, 40882, F9, 27, 27) (dual of [(40882, 27), 1103665, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |