Information on Result #701540
Linear OA(816, 65, F8, 10) (dual of [65, 49, 11]-code), using the cyclic code C(A) with length 65 | 84−1, defining set A = {1,3,5,7}, and minimum distance d ≥ |{−9,−7,−5,…,9}|+1 = 11 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(817, 66, F8, 10) (dual of [66, 49, 11]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-code) | [i] | Truncation | |
| 3 | Linear OA(8107, 32834, F8, 21) (dual of [32834, 32727, 22]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8143, 2097218, F8, 21) (dual of [2097218, 2097075, 22]-code) | [i] | ||
| 5 | Linear OA(8102, 32833, F8, 20) (dual of [32833, 32731, 21]-code) | [i] | ||
| 6 | Linear OA(8136, 2097217, F8, 20) (dual of [2097217, 2097081, 21]-code) | [i] | ||
| 7 | Linear OA(8107, 32838, F8, 21) (dual of [32838, 32731, 22]-code) | [i] | ||
| 8 | Linear OA(8108, 32845, F8, 21) (dual of [32845, 32737, 22]-code) | [i] | ||
| 9 | Linear OA(8144, 2097233, F8, 21) (dual of [2097233, 2097089, 22]-code) | [i] | ||
| 10 | Linear OA(8102, 32838, F8, 20) (dual of [32838, 32736, 21]-code) | [i] | ||
| 11 | Linear OA(8167, 32834, F8, 34) (dual of [32834, 32667, 35]-code) | [i] | Construction X with Cyclic Codes | |
| 12 | Linear OA(8157, 32834, F8, 32) (dual of [32834, 32677, 33]-code) | [i] | ||
| 13 | Linear OA(821, 70, F8, 12) (dual of [70, 49, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(827, 75, F8, 14) (dual of [75, 48, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(8149, 262209, F8, 26) (dual of [262209, 262060, 27]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 16 | Linear OA(8143, 262209, F8, 25) (dual of [262209, 262066, 26]-code) | [i] | ||
| 17 | Linear OA(8172, 32833, F8, 36) (dual of [32833, 32661, 37]-code) | [i] | ||
| 18 | Linear OA(8152, 32833, F8, 31) (dual of [32833, 32681, 32]-code) | [i] | ||
| 19 | Linear OA(8147, 32833, F8, 30) (dual of [32833, 32686, 31]-code) | [i] | ||
| 20 | Linear OA(8142, 32833, F8, 29) (dual of [32833, 32691, 30]-code) | [i] | ||
| 21 | Linear OA(8137, 32833, F8, 28) (dual of [32833, 32696, 29]-code) | [i] | ||
| 22 | Linear OA(8122, 32833, F8, 24) (dual of [32833, 32711, 25]-code) | [i] | ||
| 23 | Linear OA(8117, 32833, F8, 23) (dual of [32833, 32716, 24]-code) | [i] | ||
| 24 | Linear OA(8112, 32833, F8, 22) (dual of [32833, 32721, 23]-code) | [i] | ||