Information on Result #619396
Linear OA(8157, 6562, F81, 29) (dual of [6562, 6505, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(9114, 13124, F9, 29) (dual of [13124, 13010, 30]-code) | [i] | Trace Code | |
| 2 | Linear OA(8171, 6644, F81, 29) (dual of [6644, 6573, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8172, 6662, F81, 29) (dual of [6662, 6590, 30]-code) | [i] | ||
| 4 | Linear OA(8173, 6678, F81, 29) (dual of [6678, 6605, 30]-code) | [i] | ||
| 5 | Linear OA(8174, 6680, F81, 29) (dual of [6680, 6606, 30]-code) | [i] | ||
| 6 | Linear OA(8175, 6712, F81, 29) (dual of [6712, 6637, 30]-code) | [i] | ||
| 7 | Linear OA(8176, 6722, F81, 29) (dual of [6722, 6646, 30]-code) | [i] | ||
| 8 | Linear OA(8177, 6724, F81, 29) (dual of [6724, 6647, 30]-code) | [i] | ||
| 9 | Linear OA(8178, 6734, F81, 29) (dual of [6734, 6656, 30]-code) | [i] | ||
| 10 | Linear OA(8179, 6736, F81, 29) (dual of [6736, 6657, 30]-code) | [i] | ||
| 11 | Linear OA(8180, 6738, F81, 29) (dual of [6738, 6658, 30]-code) | [i] | ||
| 12 | Linear OA(8182, 6972, F81, 29) (dual of [6972, 6890, 30]-code) | [i] | ||
| 13 | Linear OA(8179, 6744, F81, 29) (dual of [6744, 6665, 30]-code) | [i] | ||
| 14 | Linear OA(8180, 6762, F81, 29) (dual of [6762, 6682, 30]-code) | [i] | ||
| 15 | Linear OA(8181, 6778, F81, 29) (dual of [6778, 6697, 30]-code) | [i] | ||
| 16 | Linear OA(8182, 6589, F81, 29) (dual of [6589, 6507, 30]-code) | [i] | Generalized (u, u+v)-Construction | |
| 17 | Linear OA(8177, 6584, F81, 29) (dual of [6584, 6507, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(8178, 6586, F81, 29) (dual of [6586, 6508, 30]-code) | [i] | ||
| 19 | Linear OA(8179, 6588, F81, 29) (dual of [6588, 6509, 30]-code) | [i] | ||
| 20 | Linear OA(8180, 6726, F81, 29) (dual of [6726, 6646, 30]-code) | [i] | ||
| 21 | Linear OA(8181, 6744, F81, 29) (dual of [6744, 6663, 30]-code) | [i] | ||
| 22 | Linear OA(8182, 6762, F81, 29) (dual of [6762, 6680, 30]-code) | [i] | ||
| 23 | Linear OA(8171, 6577, F81, 29) (dual of [6577, 6506, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 24 | Linear OA(8162, 6567, F81, 31) (dual of [6567, 6505, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(8158, 6567, F81, 29) (dual of [6567, 6509, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(8168, 6573, F81, 33) (dual of [6573, 6505, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(8160, 6573, F81, 29) (dual of [6573, 6513, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(8174, 6579, F81, 35) (dual of [6579, 6505, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(8162, 6579, F81, 29) (dual of [6579, 6517, 30]-code) | [i] | ✔ | |
| 30 | Linear OA(8180, 6585, F81, 37) (dual of [6585, 6505, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(8164, 6585, F81, 29) (dual of [6585, 6521, 30]-code) | [i] | ✔ | |
| 32 | Linear OA(8166, 6591, F81, 29) (dual of [6591, 6525, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(8168, 6597, F81, 29) (dual of [6597, 6529, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(8170, 6603, F81, 29) (dual of [6603, 6533, 30]-code) | [i] | ✔ | |
| 35 | Linear OOA(8157, 3281, F81, 2, 29) (dual of [(3281, 2), 6505, 30]-NRT-code) | [i] | OOA Folding | |