Information on Result #1743268
Digital (28, 42, 21867)-net over F49, using net defined by OOA based on linear OOA(4942, 21867, F49, 21, 14) (dual of [(21867, 21), 459165, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4942, 65602, F49, 3, 14) (dual of [(65602, 3), 196764, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4942, 65603, F49, 3, 14) (dual of [(65603, 3), 196767, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4942, 65603, F49, 14) (dual of [65603, 65561, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4942, 117660, F49, 14) (dual of [117660, 117618, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [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(4931, 117649, F49, 11) (dual of [117649, 117618, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(492, 11, F49, 2) (dual of [11, 9, 3]-code or 11-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(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(4942, 117660, F49, 14) (dual of [117660, 117618, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4942, 65603, F49, 14) (dual of [65603, 65561, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(4942, 65603, F49, 3, 14) (dual of [(65603, 3), 196767, 15]-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.