Information on Result #696453
Linear OA(2794, 151, F27, 59) (dual of [151, 57, 60]-code), using construction X applied to C([0,29]) ⊂ C([0,28]) based on
- linear OA(2793, 146, F27, 59) (dual of [146, 53, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
- linear OA(2789, 146, F27, 57) (dual of [146, 57, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (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(2794, 151, F27, 58) (dual of [151, 57, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2795, 152, F27, 59) (dual of [152, 57, 60]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2796, 153, F27, 59) (dual of [153, 57, 60]-code) | [i] | ||
| 4 | Linear OA(2793, 150, F27, 58) (dual of [150, 57, 59]-code) | [i] | Truncation | |
| 5 | Linear OA(2792, 149, F27, 57) (dual of [149, 57, 58]-code) | [i] | ||
| 6 | Linear OA(2791, 148, F27, 56) (dual of [148, 57, 57]-code) | [i] | ||
| 7 | Linear OA(2790, 147, F27, 55) (dual of [147, 57, 56]-code) | [i] | ||
| 8 | Linear OA(2788, 145, F27, 53) (dual of [145, 57, 54]-code) | [i] | ||
| 9 | Linear OA(2787, 144, F27, 52) (dual of [144, 57, 53]-code) | [i] | ||
| 10 | Linear OOA(2794, 75, F27, 2, 59) (dual of [(75, 2), 56, 60]-NRT-code) | [i] | OOA Folding | |