Information on Result #696452
Linear OA(2798, 151, F27, 61) (dual of [151, 53, 62]-code), using construction X applied to C([0,30]) ⊂ C([0,29]) based on
- linear OA(2797, 146, F27, 61) (dual of [146, 49, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
- 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(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(2797, 150, F27, 60) (dual of [150, 53, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(2798, 75, F27, 2, 61) (dual of [(75, 2), 52, 62]-NRT-code) | [i] | OOA Folding | |