Information on Result #1724084
Digital (116, 142, 7813)-net over F5, using net defined by OOA based on linear OOA(5142, 7813, F5, 33, 26) (dual of [(7813, 33), 257687, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5142, 39066, F5, 3, 26) (dual of [(39066, 3), 117056, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5142, 39066, F5, 2, 26) (dual of [(39066, 2), 77990, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5142, 78132, F5, 26) (dual of [78132, 77990, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5142, 78133, F5, 26) (dual of [78133, 77991, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(51, 8, F5, 1) (dual of [8, 7, 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(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(5142, 78133, F5, 26) (dual of [78133, 77991, 27]-code), using
- OOA 2-folding [i] based on linear OA(5142, 78132, F5, 26) (dual of [78132, 77990, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5142, 39066, F5, 2, 26) (dual of [(39066, 2), 77990, 27]-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.