Information on Result #1723052
Digital (87, 105, 19796)-net over F5, using net defined by OOA based on linear OOA(5105, 19796, F5, 21, 18) (dual of [(19796, 21), 415611, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5105, 59389, F5, 3, 18) (dual of [(59389, 3), 178062, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5105, 59389, F5, 18) (dual of [59389, 59284, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5105, 78155, F5, 18) (dual of [78155, 78050, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(5105, 78155, F5, 18) (dual of [78155, 78050, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5105, 59389, F5, 18) (dual of [59389, 59284, 19]-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.