Information on Result #1740334
Digital (68, 104, 1252)-net over F27, using net defined by OOA based on linear OOA(27104, 1252, F27, 38, 36) (dual of [(1252, 38), 47472, 37]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OOA(27104, 11269, F27, 2, 36) (dual of [(11269, 2), 22434, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27104, 11273, F27, 2, 36) (dual of [(11273, 2), 22442, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27104, 11273, F27, 36) (dual of [11273, 11169, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(27104, 19690, F27, 36) (dual of [19690, 19586, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(33) [i] based on
- linear OA(27103, 19683, F27, 36) (dual of [19683, 19580, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2797, 19683, F27, 34) (dual of [19683, 19586, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(35) ⊂ Ce(33) [i] based on
- discarding factors / shortening the dual code based on linear OA(27104, 19690, F27, 36) (dual of [19690, 19586, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27104, 11273, F27, 36) (dual of [11273, 11169, 37]-code), using
- discarding factors / shortening the dual code based on linear OOA(27104, 11273, F27, 2, 36) (dual of [(11273, 2), 22442, 37]-NRT-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.