Information on Result #1735010
Digital (87, 110, 171475)-net over F16, using net defined by OOA based on linear OOA(16110, 171475, F16, 26, 23) (dual of [(171475, 26), 4458240, 24]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(16110, 1028851, F16, 2, 23) (dual of [(1028851, 2), 2057592, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16110, 1028852, F16, 2, 23) (dual of [(1028852, 2), 2057594, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16110, 1028852, F16, 23) (dual of [1028852, 1028742, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(16110, 1048600, F16, 23) (dual of [1048600, 1048490, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(16106, 1048576, F16, 23) (dual of [1048576, 1048470, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(164, 24, F16, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,16)), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(16110, 1048600, F16, 23) (dual of [1048600, 1048490, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(16110, 1028852, F16, 23) (dual of [1028852, 1028742, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(16110, 1028852, F16, 2, 23) (dual of [(1028852, 2), 2057594, 24]-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.