Information on Result #619321
Linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(974, 13124, F9, 19) (dual of [13124, 13050, 20]-code) | [i] | Trace Code | |
| 2 | Linear OA(8146, 6644, F81, 19) (dual of [6644, 6598, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8147, 6662, F81, 19) (dual of [6662, 6615, 20]-code) | [i] | ||
| 4 | Linear OA(8148, 6678, F81, 19) (dual of [6678, 6630, 20]-code) | [i] | ||
| 5 | Linear OA(8149, 6680, F81, 19) (dual of [6680, 6631, 20]-code) | [i] | ||
| 6 | Linear OA(8150, 6726, F81, 19) (dual of [6726, 6676, 20]-code) | [i] | ||
| 7 | Linear OA(8152, 6890, F81, 19) (dual of [6890, 6838, 20]-code) | [i] | ||
| 8 | Linear OA(8154, 13124, F81, 19) (dual of [13124, 13070, 20]-code) | [i] | ||
| 9 | Linear OA(8151, 6744, F81, 19) (dual of [6744, 6693, 20]-code) | [i] | ||
| 10 | Linear OA(8153, 6580, F81, 19) (dual of [6580, 6527, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 11 | Linear OA(8151, 6578, F81, 19) (dual of [6578, 6527, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(8152, 6726, F81, 19) (dual of [6726, 6674, 20]-code) | [i] | ||
| 13 | Linear OA(8153, 6744, F81, 19) (dual of [6744, 6691, 20]-code) | [i] | ||
| 14 | Linear OA(8146, 6572, F81, 19) (dual of [6572, 6526, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 15 | Linear OA(8142, 6567, F81, 21) (dual of [6567, 6525, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(8138, 6567, F81, 19) (dual of [6567, 6529, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(8148, 6573, F81, 23) (dual of [6573, 6525, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(8140, 6573, F81, 19) (dual of [6573, 6533, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(8154, 6579, F81, 25) (dual of [6579, 6525, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(8142, 6579, F81, 19) (dual of [6579, 6537, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(8160, 6585, F81, 27) (dual of [6585, 6525, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(8144, 6585, F81, 19) (dual of [6585, 6541, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(8166, 6591, F81, 29) (dual of [6591, 6525, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(8172, 6597, F81, 31) (dual of [6597, 6525, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(8178, 6603, F81, 33) (dual of [6603, 6525, 34]-code) | [i] | ✔ | |
| 26 | Linear OOA(8137, 3281, F81, 2, 19) (dual of [(3281, 2), 6525, 20]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(8137, 729, F81, 19, 19) (dual of [(729, 19), 13814, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |