Information on Result #1743276
Digital (32, 46, 39225)-net over F49, using net defined by OOA based on linear OOA(4946, 39225, F49, 21, 14) (dual of [(39225, 21), 823679, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4946, 117676, F49, 3, 14) (dual of [(117676, 3), 352982, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4946, 117676, F49, 14) (dual of [117676, 117630, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(6) [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(4919, 117649, F49, 7) (dual of [117649, 117630, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(496, 27, F49, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,49)), using
- discarding factors / shortening the dual code based on linear OA(496, 49, F49, 6) (dual of [49, 43, 7]-code or 49-arc in PG(5,49)), using
- Reed–Solomon code RS(43,49) [i]
- discarding factors / shortening the dual code based on linear OA(496, 49, F49, 6) (dual of [49, 43, 7]-code or 49-arc in PG(5,49)), using
- construction X applied to Ce(13) ⊂ Ce(6) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4946, 117676, F49, 14) (dual of [117676, 117630, 15]-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.