Information on Result #1743440
Digital (21, 39, 485)-net over F49, using net defined by OOA based on linear OOA(4939, 485, F49, 21, 18) (dual of [(485, 21), 10146, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4939, 1456, F49, 3, 18) (dual of [(1456, 3), 4329, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4939, 1457, F49, 3, 18) (dual of [(1457, 3), 4332, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4939, 1457, F49, 18) (dual of [1457, 1418, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4939, 2415, F49, 18) (dual of [2415, 2376, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [i] based on
- linear OA(4935, 2401, F49, 18) (dual of [2401, 2366, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4925, 2401, F49, 13) (dual of [2401, 2376, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(494, 14, F49, 4) (dual of [14, 10, 5]-code or 14-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(17) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(4939, 2415, F49, 18) (dual of [2415, 2376, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4939, 1457, F49, 18) (dual of [1457, 1418, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(4939, 1457, F49, 3, 18) (dual of [(1457, 3), 4332, 19]-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.