Information on Result #3266478
Digital (30, 44, 16809)-net over F49, using 491 times duplication based on digital (29, 43, 16809)-net over F49, using
- net defined by OOA [i] based on linear OOA(4943, 16809, F49, 14, 14) (dual of [(16809, 14), 235283, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(4943, 117663, F49, 14) (dual of [117663, 117620, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4943, 117664, F49, 14) (dual of [117664, 117621, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(9) [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(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(493, 15, F49, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,49) or 15-cap in PG(2,49)), using
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- Reed–Solomon code RS(46,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- construction X applied to Ce(13) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(4943, 117664, F49, 14) (dual of [117664, 117621, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(4943, 117663, F49, 14) (dual of [117663, 117620, 15]-code), using
Mode: Constructive and 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.