Information on Result #689289
Linear OA(9115, 59074, F9, 25) (dual of [59074, 58959, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(9111, 59050, F9, 25) (dual of [59050, 58939, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(991, 59050, F9, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-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(9116, 59075, F9, 25) (dual of [59075, 58959, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9115, 59074, F9, 2, 25) (dual of [(59074, 2), 118033, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9115, 59074, F9, 3, 25) (dual of [(59074, 3), 177107, 26]-NRT-code) | [i] | ||
| 4 | Digital (90, 115, 59074)-net over F9 | [i] | ||
| 5 | Linear OA(9116, 59076, F9, 25) (dual of [59076, 58960, 26]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(9115, 29537, F9, 2, 25) (dual of [(29537, 2), 58959, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9115, 19691, F9, 3, 25) (dual of [(19691, 3), 58958, 26]-NRT-code) | [i] | ||