Information on Result #675795
Linear OA(360, 2201, F3, 12) (dual of [2201, 2141, 13]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
- linear OA(357, 2188, F3, 13) (dual of [2188, 2131, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(343, 2188, F3, 9) (dual of [2188, 2145, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [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(360, 1470, F3, 2, 12) (dual of [(1470, 2), 2880, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(360, 1470, F3, 3, 12) (dual of [(1470, 3), 4350, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(360, 1470, F3, 4, 12) (dual of [(1470, 4), 5820, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(360, 1470, F3, 5, 12) (dual of [(1470, 5), 7290, 13]-NRT-code) | [i] | ||
| 5 | Digital (48, 60, 1470)-net over F3 | [i] | ||