Information on Result #675392
Linear OA(3140, 6603, F3, 25) (dual of [6603, 6463, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(311, 41, F3, 5) (dual of [41, 30, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- (u, u+v)-construction [i] based on
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(3140, 3583, F3, 2, 25) (dual of [(3583, 2), 7026, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3140, 3583, F3, 3, 25) (dual of [(3583, 3), 10609, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3140, 3583, F3, 4, 25) (dual of [(3583, 4), 14192, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3140, 3583, F3, 5, 25) (dual of [(3583, 5), 17775, 26]-NRT-code) | [i] | ||
| 5 | Digital (115, 140, 3583)-net over F3 | [i] | ||
| 6 | Linear OOA(3140, 2201, F3, 3, 25) (dual of [(2201, 3), 6463, 26]-NRT-code) | [i] | OOA Folding | |