Information on Result #1723880
Digital (119, 143, 18372)-net over F5, using net defined by OOA based on linear OOA(5143, 18372, F5, 27, 24) (dual of [(18372, 27), 495901, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5143, 73489, F5, 3, 24) (dual of [(73489, 3), 220324, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5143, 73491, F5, 3, 24) (dual of [(73491, 3), 220330, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5143, 73491, F5, 24) (dual of [73491, 73348, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(5143, 78169, F5, 24) (dual of [78169, 78026, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(17) [i] based on
- linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 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(59, 44, F5, 5) (dual of [44, 35, 6]-code), using
- construction X applied to Ce(23) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(5143, 78169, F5, 24) (dual of [78169, 78026, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5143, 73491, F5, 24) (dual of [73491, 73348, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(5143, 73491, F5, 3, 24) (dual of [(73491, 3), 220330, 25]-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.