Information on Result #619374
Linear OA(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(9102, 13122, F9, 26) (dual of [13122, 13020, 27]-code) | [i] | Trace Code | |
| 2 | Linear OA(8164, 6643, F81, 26) (dual of [6643, 6579, 27]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8165, 6661, F81, 26) (dual of [6661, 6596, 27]-code) | [i] | ||
| 4 | Linear OA(8166, 6677, F81, 26) (dual of [6677, 6611, 27]-code) | [i] | ||
| 5 | Linear OA(8167, 6679, F81, 26) (dual of [6679, 6612, 27]-code) | [i] | ||
| 6 | Linear OA(8168, 6711, F81, 26) (dual of [6711, 6643, 27]-code) | [i] | ||
| 7 | Linear OA(8169, 6721, F81, 26) (dual of [6721, 6652, 27]-code) | [i] | ||
| 8 | Linear OA(8170, 6725, F81, 26) (dual of [6725, 6655, 27]-code) | [i] | ||
| 9 | Linear OA(8171, 6733, F81, 26) (dual of [6733, 6662, 27]-code) | [i] | ||
| 10 | Linear OA(8172, 6735, F81, 26) (dual of [6735, 6663, 27]-code) | [i] | ||
| 11 | Linear OA(8174, 6971, F81, 26) (dual of [6971, 6897, 27]-code) | [i] | ||
| 12 | Linear OA(8171, 6743, F81, 26) (dual of [6743, 6672, 27]-code) | [i] | ||
| 13 | Linear OA(8172, 6761, F81, 26) (dual of [6761, 6689, 27]-code) | [i] | ||
| 14 | Linear OA(8173, 6777, F81, 26) (dual of [6777, 6704, 27]-code) | [i] | ||
| 15 | Linear OA(8174, 6585, F81, 26) (dual of [6585, 6511, 27]-code) | [i] | Generalized (u, u+v)-Construction | |
| 16 | Linear OA(8171, 6582, F81, 26) (dual of [6582, 6511, 27]-code) | [i] | ||
| 17 | Linear OA(8173, 6585, F81, 26) (dual of [6585, 6512, 27]-code) | [i] | ||
| 18 | Linear OA(8174, 6588, F81, 26) (dual of [6588, 6514, 27]-code) | [i] | ||
| 19 | Linear OA(8168, 6579, F81, 26) (dual of [6579, 6511, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(8169, 6581, F81, 26) (dual of [6581, 6512, 27]-code) | [i] | ||
| 21 | Linear OA(8170, 6583, F81, 26) (dual of [6583, 6513, 27]-code) | [i] | ||
| 22 | Linear OA(8171, 6585, F81, 26) (dual of [6585, 6514, 27]-code) | [i] | ||
| 23 | Linear OA(8172, 6725, F81, 26) (dual of [6725, 6653, 27]-code) | [i] | ||
| 24 | Linear OA(8173, 6743, F81, 26) (dual of [6743, 6670, 27]-code) | [i] | ||
| 25 | Linear OA(8174, 6761, F81, 26) (dual of [6761, 6687, 27]-code) | [i] | ||
| 26 | Linear OA(8153, 6563, F81, 27) (dual of [6563, 6510, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(8151, 6563, F81, 26) (dual of [6563, 6512, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(8156, 6566, F81, 28) (dual of [6566, 6510, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(8152, 6566, F81, 26) (dual of [6566, 6514, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(8159, 6569, F81, 29) (dual of [6569, 6510, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(8153, 6569, F81, 26) (dual of [6569, 6516, 27]-code) | [i] | ✔ | |
| 32 | Linear OA(8162, 6572, F81, 30) (dual of [6572, 6510, 31]-code) | [i] | ✔ | |
| 33 | Linear OA(8154, 6572, F81, 26) (dual of [6572, 6518, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(8165, 6575, F81, 31) (dual of [6575, 6510, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(8155, 6575, F81, 26) (dual of [6575, 6520, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(8168, 6578, F81, 32) (dual of [6578, 6510, 33]-code) | [i] | ✔ | |
| 37 | Linear OA(8156, 6578, F81, 26) (dual of [6578, 6522, 27]-code) | [i] | ✔ | |
| 38 | Linear OA(8171, 6581, F81, 33) (dual of [6581, 6510, 34]-code) | [i] | ✔ | |
| 39 | Linear OA(8157, 6581, F81, 26) (dual of [6581, 6524, 27]-code) | [i] | ✔ | |
| 40 | Linear OA(8174, 6584, F81, 34) (dual of [6584, 6510, 35]-code) | [i] | ✔ | |
| 41 | Linear OA(8158, 6584, F81, 26) (dual of [6584, 6526, 27]-code) | [i] | ✔ | |
| 42 | Linear OA(8177, 6587, F81, 35) (dual of [6587, 6510, 36]-code) | [i] | ✔ | |
| 43 | Linear OA(8159, 6587, F81, 26) (dual of [6587, 6528, 27]-code) | [i] | ✔ | |
| 44 | Linear OA(8180, 6590, F81, 36) (dual of [6590, 6510, 37]-code) | [i] | ✔ | |
| 45 | Linear OA(8160, 6590, F81, 26) (dual of [6590, 6530, 27]-code) | [i] | ✔ | |
| 46 | Linear OA(8161, 6593, F81, 26) (dual of [6593, 6532, 27]-code) | [i] | ✔ | |
| 47 | Linear OA(8162, 6596, F81, 26) (dual of [6596, 6534, 27]-code) | [i] | ✔ | |
| 48 | Linear OA(8163, 6599, F81, 26) (dual of [6599, 6536, 27]-code) | [i] | ✔ | |
| 49 | Linear OOA(8151, 2187, F81, 3, 26) (dual of [(2187, 3), 6510, 27]-NRT-code) | [i] | OOA Folding | |
| 50 | Linear OOA(8151, 1640, F81, 4, 26) (dual of [(1640, 4), 6509, 27]-NRT-code) | [i] | ||
| 51 | Linear OOA(8151, 504, F81, 26, 26) (dual of [(504, 26), 13053, 27]-NRT-code) | [i] | OA Folding and Stacking | |