Information on Result #677127
Linear OA(343, 248, F3, 12) (dual of [248, 205, 13]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
- linear OA(341, 244, F3, 13) (dual of [244, 203, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(331, 244, F3, 9) (dual of [244, 213, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(343, 220, F3, 2, 12) (dual of [(220, 2), 397, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(343, 220, F3, 3, 12) (dual of [(220, 3), 617, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(343, 220, F3, 4, 12) (dual of [(220, 4), 837, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(343, 220, F3, 5, 12) (dual of [(220, 5), 1057, 13]-NRT-code) | [i] | ||
| 5 | Digital (31, 43, 220)-net over F3 | [i] | ||