Information on Result #687228
Linear OA(886, 4105, F8, 24) (dual of [4105, 4019, 25]-code), using construction X applied to Ce(24) ⊂ Ce(21) based on
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(877, 4096, F8, 22) (dual of [4096, 4019, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(81, 9, F8, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(886, 3977, F8, 2, 24) (dual of [(3977, 2), 7868, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(886, 3977, F8, 3, 24) (dual of [(3977, 3), 11845, 25]-NRT-code) | [i] | ||
| 3 | Digital (62, 86, 3977)-net over F8 | [i] | ||
| 4 | Linear OOA(886, 2052, F8, 2, 24) (dual of [(2052, 2), 4018, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(886, 1368, F8, 3, 24) (dual of [(1368, 3), 4018, 25]-NRT-code) | [i] | ||