Information on Result #1734970
Digital (66, 89, 10715)-net over F16, using net defined by OOA based on linear OOA(1689, 10715, F16, 26, 23) (dual of [(10715, 26), 278501, 24]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(1689, 64291, F16, 2, 23) (dual of [(64291, 2), 128493, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1689, 64293, F16, 2, 23) (dual of [(64293, 2), 128497, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1689, 64293, F16, 23) (dual of [64293, 64204, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1689, 65556, F16, 23) (dual of [65556, 65467, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(1685, 65536, F16, 23) (dual of [65536, 65451, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1669, 65536, F16, 19) (dual of [65536, 65467, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(164, 20, F16, 3) (dual of [20, 16, 4]-code or 20-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(1689, 65556, F16, 23) (dual of [65556, 65467, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1689, 64293, F16, 23) (dual of [64293, 64204, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(1689, 64293, F16, 2, 23) (dual of [(64293, 2), 128497, 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.