Information on Result #612811
Linear OA(4107, 16394, F4, 19) (dual of [16394, 16287, 20]-code), using construction X applied to C([0,9]) ⊂ C([1,9]) based on
- linear OA(499, 16385, F4, 19) (dual of [16385, 16286, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(498, 16385, F4, 10) (dual of [16385, 16287, 11]-code), using the narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [1,9], and minimum distance d ≥ |{−9,−7,−5,…,9}|+1 = 11 (BCH-bound) [i]
- linear OA(48, 9, F4, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,4)), using
- dual of repetition code with length 9 [i]
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(4107, 13565, F4, 2, 19) (dual of [(13565, 2), 27023, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4107, 13565, F4, 3, 19) (dual of [(13565, 3), 40588, 20]-NRT-code) | [i] | ||
| 3 | Digital (88, 107, 13565)-net over F4 | [i] | ||