Information on Result #1743328
Digital (32, 47, 37645)-net over F49, using net defined by OOA based on linear OOA(4947, 37645, F49, 21, 15) (dual of [(37645, 21), 790498, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4947, 112936, F49, 3, 15) (dual of [(112936, 3), 338761, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4947, 112937, F49, 3, 15) (dual of [(112937, 3), 338764, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4947, 112937, F49, 15) (dual of [112937, 112890, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4947, 117668, F49, 15) (dual of [117668, 117621, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- linear OA(4943, 117649, F49, 15) (dual of [117649, 117606, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(494, 19, F49, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,49)), using
- discarding factors / shortening the dual code based on linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), using
- Reed–Solomon code RS(45,49) [i]
- discarding factors / shortening the dual code based on linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), using
- construction X applied to Ce(14) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4947, 117668, F49, 15) (dual of [117668, 117621, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4947, 112937, F49, 15) (dual of [112937, 112890, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(4947, 112937, F49, 3, 15) (dual of [(112937, 3), 338764, 16]-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.