Information on Result #689123
Linear OA(9137, 531470, F9, 25) (dual of [531470, 531333, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(9133, 531442, F9, 25) (dual of [531442, 531309, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(9109, 531442, F9, 21) (dual of [531442, 531333, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(9138, 531471, F9, 25) (dual of [531471, 531333, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9137, 517407, F9, 2, 25) (dual of [(517407, 2), 1034677, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9137, 517407, F9, 3, 25) (dual of [(517407, 3), 1552084, 26]-NRT-code) | [i] | ||
| 4 | Digital (112, 137, 517407)-net over F9 | [i] | ||
| 5 | Linear OA(9138, 531472, F9, 25) (dual of [531472, 531334, 26]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(9137, 265735, F9, 2, 25) (dual of [(265735, 2), 531333, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9137, 177156, F9, 3, 25) (dual of [(177156, 3), 531331, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(9137, 44289, F9, 25, 25) (dual of [(44289, 25), 1107088, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |