Information on Result #1747118
Digital (20, 35, 7236)-net over F128, using net defined by OOA based on linear OOA(12835, 7236, F128, 20, 15) (dual of [(7236, 20), 144685, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12835, 14473, F128, 4, 15) (dual of [(14473, 4), 57857, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12835, 14474, F128, 4, 15) (dual of [(14474, 4), 57861, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12835, 14474, F128, 15) (dual of [14474, 14439, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12835, 16392, F128, 15) (dual of [16392, 16357, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([1,7]) [i] based on
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(12828, 16385, F128, 8) (dual of [16385, 16357, 9]-code), using the narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [1,7], and minimum distance d ≥ |{−7,−5,−3,…,7}|+1 = 9 (BCH-bound) [i]
- linear OA(1286, 7, F128, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,128)), 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(12835, 16392, F128, 15) (dual of [16392, 16357, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12835, 14474, F128, 15) (dual of [14474, 14439, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(12835, 14474, F128, 4, 15) (dual of [(14474, 4), 57861, 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.