Information on Result #707187
Linear OA(435, 346, F4, 10) (dual of [346, 311, 11]-code), using construction X applied to C([106,115]) ⊂ C([107,115]) based on
- linear OA(435, 341, F4, 10) (dual of [341, 306, 11]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {106,107,…,115}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(430, 341, F4, 9) (dual of [341, 311, 10]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {107,108,…,115}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(435, 346, F4, 2, 10) (dual of [(346, 2), 657, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(435, 346, F4, 3, 10) (dual of [(346, 3), 1003, 11]-NRT-code) | [i] | ||
| 3 | Digital (25, 35, 346)-net over F4 | [i] | ||
| 4 | Linear OOA(435, 173, F4, 2, 10) (dual of [(173, 2), 311, 11]-NRT-code) | [i] | OOA Folding | |