Information on Result #675349
Linear OA(368, 6575, F3, 12) (dual of [6575, 6507, 13]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
- linear OA(365, 6562, F3, 13) (dual of [6562, 6497, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(349, 6562, F3, 9) (dual of [6562, 6513, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, 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(368, 3553, F3, 2, 12) (dual of [(3553, 2), 7038, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(368, 3553, F3, 3, 12) (dual of [(3553, 3), 10591, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(368, 3553, F3, 4, 12) (dual of [(3553, 4), 14144, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(368, 3553, F3, 5, 12) (dual of [(3553, 5), 17697, 13]-NRT-code) | [i] | ||
| 5 | Digital (56, 68, 3553)-net over F3 | [i] | ||