Information on Result #674464
Linear OA(3245, 531470, F3, 30) (dual of [531470, 531225, 31]-code), using construction X applied to C([0,15]) ⊂ C([0,13]) based on
- linear OA(3241, 531442, F3, 31) (dual of [531442, 531201, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3217, 531442, F3, 27) (dual of [531442, 531225, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
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(3245, 265735, F3, 2, 30) (dual of [(265735, 2), 531225, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3245, 106294, F3, 5, 30) (dual of [(106294, 5), 531225, 31]-NRT-code) | [i] | ||