Information on Result #619291
Linear OA(8129, 6562, F81, 15) (dual of [6562, 6533, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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 OA(958, 13124, F9, 15) (dual of [13124, 13066, 16]-code) | [i] | Trace Code | |
| 2 | Linear OA(8136, 6644, F81, 15) (dual of [6644, 6608, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8137, 6662, F81, 15) (dual of [6662, 6625, 16]-code) | [i] | ||
| 4 | Linear OA(8138, 6678, F81, 15) (dual of [6678, 6640, 16]-code) | [i] | ||
| 5 | Linear OA(8139, 6724, F81, 15) (dual of [6724, 6685, 16]-code) | [i] | ||
| 6 | Linear OA(8140, 6726, F81, 15) (dual of [6726, 6686, 16]-code) | [i] | ||
| 7 | Linear OA(8141, 6808, F81, 15) (dual of [6808, 6767, 16]-code) | [i] | ||
| 8 | Linear OA(8142, 13124, F81, 15) (dual of [13124, 13082, 16]-code) | [i] | ||
| 9 | Linear OA(8139, 6726, F81, 15) (dual of [6726, 6687, 16]-code) | [i] | ||
| 10 | Linear OA(8140, 6744, F81, 15) (dual of [6744, 6704, 16]-code) | [i] | ||
| 11 | Linear OA(8141, 6726, F81, 15) (dual of [6726, 6685, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(8136, 6570, F81, 15) (dual of [6570, 6534, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(8134, 6567, F81, 17) (dual of [6567, 6533, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(8130, 6567, F81, 15) (dual of [6567, 6537, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(8140, 6573, F81, 19) (dual of [6573, 6533, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(8132, 6573, F81, 15) (dual of [6573, 6541, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(8146, 6579, F81, 21) (dual of [6579, 6533, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(8134, 6579, F81, 15) (dual of [6579, 6545, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(8152, 6585, F81, 23) (dual of [6585, 6533, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(8158, 6591, F81, 25) (dual of [6591, 6533, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(8164, 6597, F81, 27) (dual of [6597, 6533, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(8170, 6603, F81, 29) (dual of [6603, 6533, 30]-code) | [i] | ✔ | |
| 23 | Linear OOA(8129, 3281, F81, 2, 15) (dual of [(3281, 2), 6533, 16]-NRT-code) | [i] | OOA Folding | |