Information on Result #1198480
Digital (77, 102, 44289)-net over F27, using net defined by OOA based on linear OOA(27102, 44289, F27, 25, 25) (dual of [(44289, 25), 1107123, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(27102, 531469, F27, 25) (dual of [531469, 531367, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(27102, 531470, F27, 25) (dual of [531470, 531368, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] 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]
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(27102, 531470, F27, 25) (dual of [531470, 531368, 26]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (78, 103, 44289)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (79, 104, 44289)-net over F27 | [i] | ||
| 3 | Digital (80, 105, 44289)-net over F27 | [i] | ||
| 4 | Digital (77, 101, 44289)-net over F27 | [i] | m-Reduction | |