Information on Result #619284
Linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(954, 13122, F9, 14) (dual of [13122, 13068, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(8134, 6643, F81, 14) (dual of [6643, 6609, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8135, 6661, F81, 14) (dual of [6661, 6626, 15]-code) | [i] | ||
| 4 | Linear OA(8136, 6677, F81, 14) (dual of [6677, 6641, 15]-code) | [i] | ||
| 5 | Linear OA(8137, 6723, F81, 14) (dual of [6723, 6686, 15]-code) | [i] | ||
| 6 | Linear OA(8137, 6725, F81, 14) (dual of [6725, 6688, 15]-code) | [i] | ||
| 7 | Linear OA(8138, 6743, F81, 14) (dual of [6743, 6705, 15]-code) | [i] | ||
| 8 | Linear OA(8138, 6573, F81, 14) (dual of [6573, 6535, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(8136, 6571, F81, 14) (dual of [6571, 6535, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(8137, 6573, F81, 14) (dual of [6573, 6536, 15]-code) | [i] | ||
| 11 | Linear OA(8138, 6725, F81, 14) (dual of [6725, 6687, 15]-code) | [i] | ||
| 12 | Linear OA(8129, 6563, F81, 15) (dual of [6563, 6534, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(8127, 6563, F81, 14) (dual of [6563, 6536, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(8132, 6566, F81, 16) (dual of [6566, 6534, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(8128, 6566, F81, 14) (dual of [6566, 6538, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(8135, 6569, F81, 17) (dual of [6569, 6534, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(8129, 6569, F81, 14) (dual of [6569, 6540, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(8138, 6572, F81, 18) (dual of [6572, 6534, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(8130, 6572, F81, 14) (dual of [6572, 6542, 15]-code) | [i] | ✔ | |
| 20 | Linear OA(8141, 6575, F81, 19) (dual of [6575, 6534, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(8131, 6575, F81, 14) (dual of [6575, 6544, 15]-code) | [i] | ✔ | |
| 22 | Linear OA(8144, 6578, F81, 20) (dual of [6578, 6534, 21]-code) | [i] | ✔ | |
| 23 | Linear OA(8132, 6578, F81, 14) (dual of [6578, 6546, 15]-code) | [i] | ✔ | |
| 24 | Linear OA(8147, 6581, F81, 21) (dual of [6581, 6534, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(8133, 6581, F81, 14) (dual of [6581, 6548, 15]-code) | [i] | ✔ | |
| 26 | Linear OA(8150, 6584, F81, 22) (dual of [6584, 6534, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(8153, 6587, F81, 23) (dual of [6587, 6534, 24]-code) | [i] | ✔ | |
| 28 | Linear OA(8156, 6590, F81, 24) (dual of [6590, 6534, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(8159, 6593, F81, 25) (dual of [6593, 6534, 26]-code) | [i] | ✔ | |
| 30 | Linear OA(8162, 6596, F81, 26) (dual of [6596, 6534, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(8165, 6599, F81, 27) (dual of [6599, 6534, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(8168, 6602, F81, 28) (dual of [6602, 6534, 29]-code) | [i] | ✔ | |
| 33 | Linear OOA(8127, 2187, F81, 3, 14) (dual of [(2187, 3), 6534, 15]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(8127, 1640, F81, 4, 14) (dual of [(1640, 4), 6533, 15]-NRT-code) | [i] | ||
| 35 | Linear OOA(8127, 937, F81, 14, 14) (dual of [(937, 14), 13091, 15]-NRT-code) | [i] | OA Folding and Stacking | |