Information on Result #694748
Linear OA(27102, 531470, F27, 25) (dual of [531470, 531368, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) 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(2773, 531442, F27, 19) (dual of [531442, 531369, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(275, 28, F27, 5) (dual of [28, 23, 6]-code or 28-arc in PG(4,27)), using
- extended Reed–Solomon code RSe(23,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
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(27102, 531470, F27, 2, 25) (dual of [(531470, 2), 1062838, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (77, 102, 531470)-net over F27 | [i] | ||
| 3 | Linear OOA(27102, 265735, F27, 2, 25) (dual of [(265735, 2), 531368, 26]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(27102, 44289, F27, 25, 25) (dual of [(44289, 25), 1107123, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |