Information on Result #694721
Linear OA(2798, 531451, F27, 25) (dual of [531451, 531353, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,11]) based on
- linear OA(2797, 531442, F27, 25) (dual of [531442, 531345, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2789, 531442, F27, 23) (dual of [531442, 531353, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(271, 9, F27, 1) (dual of [9, 8, 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 OOA(2798, 394540, F27, 2, 25) (dual of [(394540, 2), 788982, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (73, 98, 394540)-net over F27 | [i] | ||
| 3 | Linear OOA(2798, 265725, F27, 2, 25) (dual of [(265725, 2), 531352, 26]-NRT-code) | [i] | OOA Folding | |