Information on Result #696450
Linear OA(27106, 151, F27, 69) (dual of [151, 45, 70]-code), using construction X applied to C([0,34]) ⊂ C([0,33]) based on
- linear OA(27105, 146, F27, 69) (dual of [146, 41, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [i]
- linear OA(27101, 146, F27, 67) (dual of [146, 45, 68]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,33], and minimum distance d ≥ |{−33,−32,…,33}|+1 = 68 (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(27106, 151, F27, 68) (dual of [151, 45, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(27107, 152, F27, 69) (dual of [152, 45, 70]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(27108, 153, F27, 69) (dual of [153, 45, 70]-code) | [i] | ||
| 4 | Linear OA(27105, 150, F27, 68) (dual of [150, 45, 69]-code) | [i] | Truncation | |
| 5 | Linear OA(27104, 149, F27, 67) (dual of [149, 45, 68]-code) | [i] | ||
| 6 | Linear OA(27103, 148, F27, 66) (dual of [148, 45, 67]-code) | [i] | ||
| 7 | Linear OA(27102, 147, F27, 65) (dual of [147, 45, 66]-code) | [i] | ||
| 8 | Linear OA(27100, 145, F27, 63) (dual of [145, 45, 64]-code) | [i] | ||
| 9 | Linear OOA(27106, 75, F27, 2, 69) (dual of [(75, 2), 44, 70]-NRT-code) | [i] | OOA Folding | |