Information on Result #619276
Linear OA(8125, 6562, F81, 13) (dual of [6562, 6537, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(950, 13124, F9, 13) (dual of [13124, 13074, 14]-code) | [i] | Trace Code | |
| 2 | Linear OA(8178, 13124, F81, 27) (dual of [13124, 13046, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8131, 6644, F81, 13) (dual of [6644, 6613, 14]-code) | [i] | ||
| 4 | Linear OA(8132, 6662, F81, 13) (dual of [6662, 6630, 14]-code) | [i] | ||
| 5 | Linear OA(8133, 6678, F81, 13) (dual of [6678, 6645, 14]-code) | [i] | ||
| 6 | Linear OA(8134, 6726, F81, 13) (dual of [6726, 6692, 14]-code) | [i] | ||
| 7 | Linear OA(8135, 6767, F81, 13) (dual of [6767, 6732, 14]-code) | [i] | ||
| 8 | Linear OA(8136, 13123, F81, 13) (dual of [13123, 13087, 14]-code) | [i] | ||
| 9 | Linear OA(8135, 6726, F81, 13) (dual of [6726, 6691, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(8131, 6569, F81, 13) (dual of [6569, 6538, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(8130, 6567, F81, 15) (dual of [6567, 6537, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(8126, 6567, F81, 13) (dual of [6567, 6541, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(8136, 6573, F81, 17) (dual of [6573, 6537, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(8128, 6573, F81, 13) (dual of [6573, 6545, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(8142, 6579, F81, 19) (dual of [6579, 6537, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(8130, 6579, F81, 13) (dual of [6579, 6549, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(8148, 6585, F81, 21) (dual of [6585, 6537, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(8154, 6591, F81, 23) (dual of [6591, 6537, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(8160, 6597, F81, 25) (dual of [6597, 6537, 26]-code) | [i] | ✔ | |
| 20 | Linear OOA(8125, 3281, F81, 2, 13) (dual of [(3281, 2), 6537, 14]-NRT-code) | [i] | OOA Folding | |