Information on Result #1743272
Digital (30, 44, 39222)-net over F49, using net defined by OOA based on linear OOA(4944, 39222, F49, 21, 14) (dual of [(39222, 21), 823618, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4944, 117667, F49, 3, 14) (dual of [(117667, 3), 352957, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4944, 117668, F49, 3, 14) (dual of [(117668, 3), 352960, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4944, 117668, F49, 14) (dual of [117668, 117624, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(8) [i] based on
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(4925, 117649, F49, 9) (dual of [117649, 117624, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(13) ⊂ Ce(8) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4944, 117668, F49, 14) (dual of [117668, 117624, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(4944, 117668, F49, 3, 14) (dual of [(117668, 3), 352960, 15]-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.