Information on Result #1748338
Digital (20, 35, 22092)-net over F256, using net defined by OOA based on linear OOA(25635, 22092, F256, 20, 15) (dual of [(22092, 20), 441805, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25635, 44185, F256, 4, 15) (dual of [(44185, 4), 176705, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25635, 44186, F256, 4, 15) (dual of [(44186, 4), 176709, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25635, 44186, F256, 15) (dual of [44186, 44151, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25635, 65544, F256, 15) (dual of [65544, 65509, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([1,7]) [i] based on
- linear OA(25629, 65537, F256, 15) (dual of [65537, 65508, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(25628, 65537, F256, 8) (dual of [65537, 65509, 9]-code), using the narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [1,7], and minimum distance d ≥ |{−7,−5,−3,…,7}|+1 = 9 (BCH-bound) [i]
- linear OA(2566, 7, F256, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,256)), using
- dual of repetition code with length 7 [i]
- construction X applied to C([0,7]) ⊂ C([1,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(25635, 65544, F256, 15) (dual of [65544, 65509, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25635, 44186, F256, 15) (dual of [44186, 44151, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(25635, 44186, F256, 4, 15) (dual of [(44186, 4), 176709, 16]-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.