Information on Result #612768
Linear OA(493, 16394, F4, 17) (dual of [16394, 16301, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
- linear OA(485, 16385, F4, 17) (dual of [16385, 16300, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(484, 16385, F4, 8) (dual of [16385, 16301, 9]-code), using the narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(493, 10539, F4, 2, 17) (dual of [(10539, 2), 20985, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(493, 10539, F4, 3, 17) (dual of [(10539, 3), 31524, 18]-NRT-code) | [i] | ||
| 3 | Digital (76, 93, 10539)-net over F4 | [i] | ||