Information on Result #1195108
Digital (27, 40, 685)-net over F16, using net defined by OOA based on linear OOA(1640, 685, F16, 13, 13) (dual of [(685, 13), 8865, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(1640, 4111, F16, 13) (dual of [4111, 4071, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1640, 4112, F16, 13) (dual of [4112, 4072, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(1637, 4097, F16, 13) (dual of [4097, 4060, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1625, 4097, F16, 9) (dual of [4097, 4072, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(163, 15, F16, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,16) or 15-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(1640, 4112, F16, 13) (dual of [4112, 4072, 14]-code), using
Mode: Constructive and 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.