Information on Result #677121
Linear OA(363, 248, F3, 18) (dual of [248, 185, 19]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) based on
- linear OA(361, 244, F3, 19) (dual of [244, 183, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(351, 244, F3, 15) (dual of [244, 193, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(363, 227, F3, 2, 18) (dual of [(227, 2), 391, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(363, 227, F3, 3, 18) (dual of [(227, 3), 618, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(363, 227, F3, 4, 18) (dual of [(227, 4), 845, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(363, 227, F3, 5, 18) (dual of [(227, 5), 1072, 19]-NRT-code) | [i] | ||
| 5 | Digital (45, 63, 227)-net over F3 | [i] | ||