Information on Result #1740012
Digital (57, 87, 1351)-net over F27, using net defined by OOA based on linear OOA(2787, 1351, F27, 34, 30) (dual of [(1351, 34), 45847, 31]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OOA(2787, 10809, F27, 2, 30) (dual of [(10809, 2), 21531, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2787, 10809, F27, 30) (dual of [10809, 10722, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2787, 19691, F27, 30) (dual of [19691, 19604, 31]-code), using
- 1 times code embedding in larger space [i] based on linear OA(2786, 19690, F27, 30) (dual of [19690, 19604, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(27) [i] based on
- linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 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
- construction X applied to Ce(29) ⊂ Ce(27) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(2786, 19690, F27, 30) (dual of [19690, 19604, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2787, 19691, F27, 30) (dual of [19691, 19604, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2787, 10809, F27, 30) (dual of [10809, 10722, 31]-code), using
Mode: 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
None.