Information on Result #689587
Linear OA(9105, 6562, F9, 29) (dual of [6562, 6457, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound)
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(9105, 6454, F9, 2, 29) (dual of [(6454, 2), 12803, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9105, 6454, F9, 3, 29) (dual of [(6454, 3), 19257, 30]-NRT-code) | [i] | ||
| 3 | Digital (76, 105, 6454)-net over F9 | [i] | ||
| 4 | Linear OA(9114, 6571, F9, 31) (dual of [6571, 6457, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(9106, 6571, F9, 29) (dual of [6571, 6465, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(9125, 6582, F9, 33) (dual of [6582, 6457, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(9109, 6582, F9, 29) (dual of [6582, 6473, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(9139, 6590, F9, 37) (dual of [6590, 6451, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(9140, 6592, F9, 37) (dual of [6592, 6452, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(9141, 6598, F9, 37) (dual of [6598, 6457, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(9138, 6590, F9, 36) (dual of [6590, 6452, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(9139, 6596, F9, 36) (dual of [6596, 6457, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(9136, 6593, F9, 35) (dual of [6593, 6457, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(9112, 6593, F9, 29) (dual of [6593, 6481, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(9138, 6588, F9, 37) (dual of [6588, 6450, 38]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 16 | Linear OA(9135, 6585, F9, 35) (dual of [6585, 6450, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(9124, 6574, F9, 33) (dual of [6574, 6450, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(9127, 6585, F9, 33) (dual of [6585, 6458, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(9116, 6574, F9, 31) (dual of [6574, 6458, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(9108, 6574, F9, 29) (dual of [6574, 6466, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(9111, 6585, F9, 29) (dual of [6585, 6474, 30]-code) | [i] | ✔ | |