Information on Result #687977
Linear OA(879, 515, F8, 30) (dual of [515, 436, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) based on
- linear OA(879, 512, F8, 30) (dual of [512, 433, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(876, 512, F8, 29) (dual of [512, 436, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-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(879, 514, F8, 2, 30) (dual of [(514, 2), 949, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(879, 514, F8, 3, 30) (dual of [(514, 3), 1463, 31]-NRT-code) | [i] | ||
| 3 | Digital (49, 79, 514)-net over F8 | [i] | ||