Information on Result #619336
Linear OA(8141, 6562, F81, 21) (dual of [6562, 6521, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(982, 13124, F9, 21) (dual of [13124, 13042, 22]-code) | [i] | Trace Code | |
| 2 | Linear OA(8151, 6644, F81, 21) (dual of [6644, 6593, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8152, 6662, F81, 21) (dual of [6662, 6610, 22]-code) | [i] | ||
| 4 | Linear OA(8153, 6678, F81, 21) (dual of [6678, 6625, 22]-code) | [i] | ||
| 5 | Linear OA(8154, 6680, F81, 21) (dual of [6680, 6626, 22]-code) | [i] | ||
| 6 | Linear OA(8155, 6712, F81, 21) (dual of [6712, 6657, 22]-code) | [i] | ||
| 7 | Linear OA(8156, 6726, F81, 21) (dual of [6726, 6670, 22]-code) | [i] | ||
| 8 | Linear OA(8158, 6890, F81, 21) (dual of [6890, 6832, 22]-code) | [i] | ||
| 9 | Linear OA(8159, 6971, F81, 21) (dual of [6971, 6912, 22]-code) | [i] | ||
| 10 | Linear OA(8160, 13123, F81, 21) (dual of [13123, 13063, 22]-code) | [i] | ||
| 11 | Linear OA(8157, 6744, F81, 21) (dual of [6744, 6687, 22]-code) | [i] | ||
| 12 | Linear OA(8157, 6580, F81, 21) (dual of [6580, 6523, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(8158, 6726, F81, 21) (dual of [6726, 6668, 22]-code) | [i] | ||
| 14 | Linear OA(8159, 6744, F81, 21) (dual of [6744, 6685, 22]-code) | [i] | ||
| 15 | Linear OA(8151, 6573, F81, 21) (dual of [6573, 6522, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 16 | Linear OA(8146, 6567, F81, 23) (dual of [6567, 6521, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(8142, 6567, F81, 21) (dual of [6567, 6525, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(8152, 6573, F81, 25) (dual of [6573, 6521, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(8144, 6573, F81, 21) (dual of [6573, 6529, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(8158, 6579, F81, 27) (dual of [6579, 6521, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(8146, 6579, F81, 21) (dual of [6579, 6533, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(8164, 6585, F81, 29) (dual of [6585, 6521, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(8148, 6585, F81, 21) (dual of [6585, 6537, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(8170, 6591, F81, 31) (dual of [6591, 6521, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(8150, 6591, F81, 21) (dual of [6591, 6541, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(8176, 6597, F81, 33) (dual of [6597, 6521, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(8182, 6603, F81, 35) (dual of [6603, 6521, 36]-code) | [i] | ✔ | |
| 28 | Linear OOA(8141, 3281, F81, 2, 21) (dual of [(3281, 2), 6521, 22]-NRT-code) | [i] | OOA Folding | |