Information on Result #619368
Linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(998, 13124, F9, 25) (dual of [13124, 13026, 26]-code) | [i] | Trace Code | |
| 2 | Linear OA(8161, 6644, F81, 25) (dual of [6644, 6583, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8162, 6662, F81, 25) (dual of [6662, 6600, 26]-code) | [i] | ||
| 4 | Linear OA(8163, 6678, F81, 25) (dual of [6678, 6615, 26]-code) | [i] | ||
| 5 | Linear OA(8164, 6680, F81, 25) (dual of [6680, 6616, 26]-code) | [i] | ||
| 6 | Linear OA(8165, 6712, F81, 25) (dual of [6712, 6647, 26]-code) | [i] | ||
| 7 | Linear OA(8166, 6722, F81, 25) (dual of [6722, 6656, 26]-code) | [i] | ||
| 8 | Linear OA(8167, 6725, F81, 25) (dual of [6725, 6658, 26]-code) | [i] | ||
| 9 | Linear OA(8168, 6734, F81, 25) (dual of [6734, 6666, 26]-code) | [i] | ||
| 10 | Linear OA(8169, 6736, F81, 25) (dual of [6736, 6667, 26]-code) | [i] | ||
| 11 | Linear OA(8170, 6972, F81, 25) (dual of [6972, 6902, 26]-code) | [i] | ||
| 12 | Linear OA(8172, 13123, F81, 25) (dual of [13123, 13051, 26]-code) | [i] | ||
| 13 | Linear OA(8167, 6726, F81, 25) (dual of [6726, 6659, 26]-code) | [i] | ||
| 14 | Linear OA(8168, 6744, F81, 25) (dual of [6744, 6676, 26]-code) | [i] | ||
| 15 | Linear OA(8169, 6762, F81, 25) (dual of [6762, 6693, 26]-code) | [i] | ||
| 16 | Linear OA(8171, 6586, F81, 25) (dual of [6586, 6515, 26]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(8167, 6582, F81, 25) (dual of [6582, 6515, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(8168, 6584, F81, 25) (dual of [6584, 6516, 26]-code) | [i] | ||
| 19 | Linear OA(8169, 6726, F81, 25) (dual of [6726, 6657, 26]-code) | [i] | ||
| 20 | Linear OA(8170, 6744, F81, 25) (dual of [6744, 6674, 26]-code) | [i] | ||
| 21 | Linear OA(8171, 6762, F81, 25) (dual of [6762, 6691, 26]-code) | [i] | ||
| 22 | Linear OA(8161, 6575, F81, 25) (dual of [6575, 6514, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 23 | Linear OA(8154, 6567, F81, 27) (dual of [6567, 6513, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(8150, 6567, F81, 25) (dual of [6567, 6517, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(8160, 6573, F81, 29) (dual of [6573, 6513, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(8152, 6573, F81, 25) (dual of [6573, 6521, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(8166, 6579, F81, 31) (dual of [6579, 6513, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(8154, 6579, F81, 25) (dual of [6579, 6525, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(8172, 6585, F81, 33) (dual of [6585, 6513, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(8156, 6585, F81, 25) (dual of [6585, 6529, 26]-code) | [i] | ✔ | |
| 31 | Linear OA(8178, 6591, F81, 35) (dual of [6591, 6513, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(8158, 6591, F81, 25) (dual of [6591, 6533, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(8160, 6597, F81, 25) (dual of [6597, 6537, 26]-code) | [i] | ✔ | |
| 34 | Linear OOA(8149, 3281, F81, 2, 25) (dual of [(3281, 2), 6513, 26]-NRT-code) | [i] | OOA Folding | |