Information on Result #619350
Linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(990, 13124, F9, 23) (dual of [13124, 13034, 24]-code) | [i] | Trace Code | |
| 2 | Linear OA(8156, 6644, F81, 23) (dual of [6644, 6588, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8157, 6662, F81, 23) (dual of [6662, 6605, 24]-code) | [i] | ||
| 4 | Linear OA(8158, 6678, F81, 23) (dual of [6678, 6620, 24]-code) | [i] | ||
| 5 | Linear OA(8159, 6680, F81, 23) (dual of [6680, 6621, 24]-code) | [i] | ||
| 6 | Linear OA(8160, 6712, F81, 23) (dual of [6712, 6652, 24]-code) | [i] | ||
| 7 | Linear OA(8161, 6724, F81, 23) (dual of [6724, 6663, 24]-code) | [i] | ||
| 8 | Linear OA(8162, 6726, F81, 23) (dual of [6726, 6664, 24]-code) | [i] | ||
| 9 | Linear OA(8163, 6734, F81, 23) (dual of [6734, 6671, 24]-code) | [i] | ||
| 10 | Linear OA(8164, 6972, F81, 23) (dual of [6972, 6908, 24]-code) | [i] | ||
| 11 | Linear OA(8166, 13124, F81, 23) (dual of [13124, 13058, 24]-code) | [i] | ||
| 12 | Linear OA(8161, 6726, F81, 23) (dual of [6726, 6665, 24]-code) | [i] | ||
| 13 | Linear OA(8162, 6744, F81, 23) (dual of [6744, 6682, 24]-code) | [i] | ||
| 14 | Linear OA(8163, 6762, F81, 23) (dual of [6762, 6699, 24]-code) | [i] | ||
| 15 | Linear OA(8164, 6583, F81, 23) (dual of [6583, 6519, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 16 | Linear OA(8165, 6586, F81, 23) (dual of [6586, 6521, 24]-code) | [i] | ||
| 17 | Linear OA(8161, 6580, F81, 23) (dual of [6580, 6519, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(8162, 6582, F81, 23) (dual of [6582, 6520, 24]-code) | [i] | ||
| 19 | Linear OA(8163, 6726, F81, 23) (dual of [6726, 6663, 24]-code) | [i] | ||
| 20 | Linear OA(8164, 6744, F81, 23) (dual of [6744, 6680, 24]-code) | [i] | ||
| 21 | Linear OA(8165, 6762, F81, 23) (dual of [6762, 6697, 24]-code) | [i] | ||
| 22 | Linear OA(8156, 6574, F81, 23) (dual of [6574, 6518, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 23 | Linear OA(8150, 6567, F81, 25) (dual of [6567, 6517, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(8146, 6567, F81, 23) (dual of [6567, 6521, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(8156, 6573, F81, 27) (dual of [6573, 6517, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(8148, 6573, F81, 23) (dual of [6573, 6525, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(8162, 6579, F81, 29) (dual of [6579, 6517, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(8150, 6579, F81, 23) (dual of [6579, 6529, 24]-code) | [i] | ✔ | |
| 29 | Linear OA(8168, 6585, F81, 31) (dual of [6585, 6517, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(8152, 6585, F81, 23) (dual of [6585, 6533, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(8174, 6591, F81, 33) (dual of [6591, 6517, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(8154, 6591, F81, 23) (dual of [6591, 6537, 24]-code) | [i] | ✔ | |
| 33 | Linear OA(8180, 6597, F81, 35) (dual of [6597, 6517, 36]-code) | [i] | ✔ | |
| 34 | Linear OOA(8145, 3281, F81, 2, 23) (dual of [(3281, 2), 6517, 24]-NRT-code) | [i] | OOA Folding | |