Information on Result #1743018
Digital (11, 21, 657)-net over F49, using net defined by OOA based on linear OOA(4921, 657, F49, 15, 10) (dual of [(657, 15), 9834, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4921, 1315, F49, 3, 10) (dual of [(1315, 3), 3924, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4921, 1315, F49, 10) (dual of [1315, 1294, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4921, 2409, F49, 10) (dual of [2409, 2388, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(4913, 2401, F49, 7) (dual of [2401, 2388, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(492, 8, F49, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(4921, 2409, F49, 10) (dual of [2409, 2388, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4921, 1315, F49, 10) (dual of [1315, 1294, 11]-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.