Information on Result #1740380
Digital (73, 110, 1702)-net over F27, using net defined by OOA based on linear OOA(27110, 1702, F27, 38, 37) (dual of [(1702, 38), 64566, 38]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OOA(27110, 15319, F27, 2, 37) (dual of [(15319, 2), 30528, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(27110, 15327, F27, 2, 37) (dual of [(15327, 2), 30544, 38]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27110, 15327, F27, 37) (dual of [15327, 15217, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(27110, 19691, F27, 37) (dual of [19691, 19581, 38]-code), using
- construction X applied to C([0,18]) ⊂ C([0,17]) [i] based on
- linear OA(27109, 19684, F27, 37) (dual of [19684, 19575, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(27103, 19684, F27, 35) (dual of [19684, 19581, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [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 C([0,18]) ⊂ C([0,17]) [i] based on
- discarding factors / shortening the dual code based on linear OA(27110, 19691, F27, 37) (dual of [19691, 19581, 38]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(27110, 15327, F27, 37) (dual of [15327, 15217, 38]-code), using
- discarding factors / shortening the dual code based on linear OOA(27110, 15327, F27, 2, 37) (dual of [(15327, 2), 30544, 38]-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.