Information on Result #696455
Linear OA(2778, 151, F27, 47) (dual of [151, 73, 48]-code), using construction X applied to C([0,23]) ⊂ C([0,22]) based on
- linear OA(2777, 146, F27, 47) (dual of [146, 69, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,23], and minimum distance d ≥ |{−23,−22,…,23}|+1 = 48 (BCH-bound) [i]
- linear OA(2773, 146, F27, 45) (dual of [146, 73, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(2778, 151, F27, 46) (dual of [151, 73, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2779, 152, F27, 47) (dual of [152, 73, 48]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2780, 153, F27, 47) (dual of [153, 73, 48]-code) | [i] | ||
| 4 | Linear OA(2777, 150, F27, 46) (dual of [150, 73, 47]-code) | [i] | Truncation | |
| 5 | Linear OA(2776, 149, F27, 45) (dual of [149, 73, 46]-code) | [i] | ||
| 6 | Linear OOA(2778, 75, F27, 2, 47) (dual of [(75, 2), 72, 48]-NRT-code) | [i] | OOA Folding | |