Information on Result #619306
Linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(966, 13124, F9, 17) (dual of [13124, 13058, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(8141, 6644, F81, 17) (dual of [6644, 6603, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8142, 6662, F81, 17) (dual of [6662, 6620, 18]-code) | [i] | ||
| 4 | Linear OA(8143, 6678, F81, 17) (dual of [6678, 6635, 18]-code) | [i] | ||
| 5 | Linear OA(8144, 6680, F81, 17) (dual of [6680, 6636, 18]-code) | [i] | ||
| 6 | Linear OA(8145, 6725, F81, 17) (dual of [6725, 6680, 18]-code) | [i] | ||
| 7 | Linear OA(8147, 6889, F81, 17) (dual of [6889, 6842, 18]-code) | [i] | ||
| 8 | Linear OA(8148, 13123, F81, 17) (dual of [13123, 13075, 18]-code) | [i] | ||
| 9 | Linear OA(8145, 6726, F81, 17) (dual of [6726, 6681, 18]-code) | [i] | ||
| 10 | Linear OA(8146, 6744, F81, 17) (dual of [6744, 6698, 18]-code) | [i] | ||
| 11 | Linear OA(8145, 6576, F81, 17) (dual of [6576, 6531, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(8146, 6726, F81, 17) (dual of [6726, 6680, 18]-code) | [i] | ||
| 13 | Linear OA(8147, 6744, F81, 17) (dual of [6744, 6697, 18]-code) | [i] | ||
| 14 | Linear OA(8141, 6571, F81, 17) (dual of [6571, 6530, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(8138, 6567, F81, 19) (dual of [6567, 6529, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(8134, 6567, F81, 17) (dual of [6567, 6533, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(8144, 6573, F81, 21) (dual of [6573, 6529, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(8136, 6573, F81, 17) (dual of [6573, 6537, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(8150, 6579, F81, 23) (dual of [6579, 6529, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(8138, 6579, F81, 17) (dual of [6579, 6541, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(8156, 6585, F81, 25) (dual of [6585, 6529, 26]-code) | [i] | ✔ | |
| 22 | Linear OA(8140, 6585, F81, 17) (dual of [6585, 6545, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(8162, 6591, F81, 27) (dual of [6591, 6529, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(8168, 6597, F81, 29) (dual of [6597, 6529, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(8174, 6603, F81, 31) (dual of [6603, 6529, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(8180, 6609, F81, 33) (dual of [6609, 6529, 34]-code) | [i] | ✔ | |
| 27 | Linear OOA(8133, 3281, F81, 2, 17) (dual of [(3281, 2), 6529, 18]-NRT-code) | [i] | OOA Folding | |