Information on Result #1720754
Digital (199, 233, 21134)-net over F4, using net defined by OOA based on linear OOA(4233, 21134, F4, 39, 34) (dual of [(21134, 39), 823993, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4233, 126805, F4, 3, 34) (dual of [(126805, 3), 380182, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4233, 126807, F4, 3, 34) (dual of [(126807, 3), 380188, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4233, 126807, F4, 2, 34) (dual of [(126807, 2), 253381, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4233, 131093, F4, 2, 34) (dual of [(131093, 2), 261953, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4233, 262186, F4, 34) (dual of [262186, 261953, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4233, 262187, F4, 34) (dual of [262187, 261954, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(4233, 262187, F4, 34) (dual of [262187, 261954, 35]-code), using
- OOA 2-folding [i] based on linear OA(4233, 262186, F4, 34) (dual of [262186, 261953, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(4233, 131093, F4, 2, 34) (dual of [(131093, 2), 261953, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4233, 126807, F4, 2, 34) (dual of [(126807, 2), 253381, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4233, 126807, F4, 3, 34) (dual of [(126807, 3), 380188, 35]-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.