Information on Result #1743152
Digital (27, 39, 58835)-net over F49, using net defined by OOA based on linear OOA(4939, 58835, F49, 15, 12) (dual of [(58835, 15), 882486, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4939, 117671, F49, 3, 12) (dual of [(117671, 3), 352974, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4939, 117672, F49, 3, 12) (dual of [(117672, 3), 352977, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4939, 117672, F49, 12) (dual of [117672, 117633, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(5) [i] based on
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(495, 23, F49, 5) (dual of [23, 18, 6]-code or 23-arc in PG(4,49)), using
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), using
- Reed–Solomon code RS(44,49) [i]
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), using
- construction X applied to Ce(11) ⊂ Ce(5) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4939, 117672, F49, 12) (dual of [117672, 117633, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(4939, 117672, F49, 3, 12) (dual of [(117672, 3), 352977, 13]-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.