Information on Result #611574
Linear OA(324, 248, F3, 7) (dual of [248, 224, 8]-code), using construction X applied to C([0,3]) ⊂ C([1,3]) based on
- linear OA(321, 244, F3, 7) (dual of [244, 223, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(320, 244, F3, 3) (dual of [244, 224, 4]-code or 244-cap in PG(19,3)), using the narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [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(324, 200, F3, 2, 7) (dual of [(200, 2), 376, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(324, 200, F3, 3, 7) (dual of [(200, 3), 576, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(324, 200, F3, 4, 7) (dual of [(200, 4), 776, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(324, 200, F3, 5, 7) (dual of [(200, 5), 976, 8]-NRT-code) | [i] | ||
| 5 | Digital (17, 24, 200)-net over F3 | [i] | ||