Information on Result #1188490
Digital (56, 66, 78128)-net over F5, using net defined by OOA based on linear OOA(566, 78128, F5, 10, 10) (dual of [(78128, 10), 781214, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(566, 390640, F5, 10) (dual of [390640, 390574, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(566, 390642, F5, 10) (dual of [390642, 390576, 11]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(565, 390625, F5, 11) (dual of [390625, 390560, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(549, 390625, F5, 8) (dual of [390625, 390576, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(51, 17, F5, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(566, 390642, F5, 10) (dual of [390642, 390576, 11]-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.