Information on Result #1188788
Digital (65, 78, 13026)-net over F5, using net defined by OOA based on linear OOA(578, 13026, F5, 13, 13) (dual of [(13026, 13), 169260, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(578, 78157, F5, 13) (dual of [78157, 78079, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(578, 78160, F5, 13) (dual of [78160, 78082, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(543, 78125, F5, 8) (dual of [78125, 78082, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(57, 35, F5, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 44, F5, 4) (dual of [44, 37, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(578, 78160, F5, 13) (dual of [78160, 78082, 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.