Information on Result #619269
Linear OA(8123, 6561, F81, 12) (dual of [6561, 6538, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(946, 13122, F9, 12) (dual of [13122, 13076, 13]-code) | [i] | Trace Code | |
| 2 | Linear OA(8172, 13123, F81, 25) (dual of [13123, 13051, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8129, 6643, F81, 12) (dual of [6643, 6614, 13]-code) | [i] | ||
| 4 | Linear OA(8130, 6661, F81, 12) (dual of [6661, 6631, 13]-code) | [i] | ||
| 5 | Linear OA(8131, 6677, F81, 12) (dual of [6677, 6646, 13]-code) | [i] | ||
| 6 | Linear OA(8132, 6725, F81, 12) (dual of [6725, 6693, 13]-code) | [i] | ||
| 7 | Linear OA(8132, 6571, F81, 12) (dual of [6571, 6539, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(8125, 6563, F81, 13) (dual of [6563, 6538, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(8123, 6563, F81, 12) (dual of [6563, 6540, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(8128, 6566, F81, 14) (dual of [6566, 6538, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(8124, 6566, F81, 12) (dual of [6566, 6542, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(8131, 6569, F81, 15) (dual of [6569, 6538, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(8125, 6569, F81, 12) (dual of [6569, 6544, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(8134, 6572, F81, 16) (dual of [6572, 6538, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(8126, 6572, F81, 12) (dual of [6572, 6546, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(8137, 6575, F81, 17) (dual of [6575, 6538, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(8127, 6575, F81, 12) (dual of [6575, 6548, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(8140, 6578, F81, 18) (dual of [6578, 6538, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(8128, 6578, F81, 12) (dual of [6578, 6550, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(8143, 6581, F81, 19) (dual of [6581, 6538, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(8146, 6584, F81, 20) (dual of [6584, 6538, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(8149, 6587, F81, 21) (dual of [6587, 6538, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(8152, 6590, F81, 22) (dual of [6590, 6538, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(8155, 6593, F81, 23) (dual of [6593, 6538, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(8158, 6596, F81, 24) (dual of [6596, 6538, 25]-code) | [i] | ✔ | |
| 26 | Linear OOA(8123, 2187, F81, 3, 12) (dual of [(2187, 3), 6538, 13]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(8123, 1640, F81, 4, 12) (dual of [(1640, 4), 6537, 13]-NRT-code) | [i] | ||
| 28 | Linear OOA(8123, 1093, F81, 12, 12) (dual of [(1093, 12), 13093, 13]-NRT-code) | [i] | OA Folding and Stacking | |