Information on Result #686336
Linear OA(878, 2097194, F8, 12) (dual of [2097194, 2097116, 13]-code), using construction X applied to Ce(11) ⊂ Ce(5) based on
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(836, 2097152, F8, 6) (dual of [2097152, 2097116, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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 OA(879, 2097195, F8, 12) (dual of [2097195, 2097116, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(880, 2097196, F8, 12) (dual of [2097196, 2097116, 13]-code) | [i] | ||
| 3 | Linear OOA(878, 2097194, F8, 2, 12) (dual of [(2097194, 2), 4194310, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(878, 2097194, F8, 3, 12) (dual of [(2097194, 3), 6291504, 13]-NRT-code) | [i] | ||
| 5 | Digital (66, 78, 2097194)-net over F8 | [i] | ||
| 6 | Linear OOA(878, 1048597, F8, 2, 12) (dual of [(1048597, 2), 2097116, 13]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(878, 699064, F8, 3, 12) (dual of [(699064, 3), 2097114, 13]-NRT-code) | [i] | ||