Information on Result #686840
Linear OA(8147, 32794, F8, 33) (dual of [32794, 32647, 34]-code), using construction X applied to Ce(32) ⊂ Ce(27) based on
- linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(86, 26, F8, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
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 OOA(8147, 31764, F8, 2, 33) (dual of [(31764, 2), 63381, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8147, 31764, F8, 3, 33) (dual of [(31764, 3), 95145, 34]-NRT-code) | [i] | ||
| 3 | Digital (114, 147, 31764)-net over F8 | [i] | ||
| 4 | Linear OOA(8147, 16397, F8, 2, 33) (dual of [(16397, 2), 32647, 34]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8147, 10931, F8, 3, 33) (dual of [(10931, 3), 32646, 34]-NRT-code) | [i] | ||