Information on Result #1743038
Digital (21, 31, 58831)-net over F49, using net defined by OOA based on linear OOA(4931, 58831, F49, 15, 10) (dual of [(58831, 15), 882434, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4931, 117663, F49, 3, 10) (dual of [(117663, 3), 352958, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4931, 117664, F49, 3, 10) (dual of [(117664, 3), 352961, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4931, 117664, F49, 10) (dual of [117664, 117633, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- 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(4916, 117649, F49, 6) (dual of [117649, 117633, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(9) ⊂ Ce(5) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4931, 117664, F49, 10) (dual of [117664, 117633, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(4931, 117664, F49, 3, 10) (dual of [(117664, 3), 352961, 11]-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.