Information on Result #1720400
Digital (219, 250, 114927)-net over F4, using net defined by OOA based on linear OOA(4250, 114927, F4, 33, 31) (dual of [(114927, 33), 3792341, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4250, 574636, F4, 3, 31) (dual of [(574636, 3), 1723658, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4250, 574639, F4, 3, 31) (dual of [(574639, 3), 1723667, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4250, 574639, F4, 31) (dual of [574639, 574389, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4250, 1048599, F4, 31) (dual of [1048599, 1048349, 32]-code), using
- (u, u+v)-construction [i] based on
- linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- construction X applied to C1 ⊂ C2 with C1 a [17,1,16]-code [i] based on
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4250, 1048599, F4, 31) (dual of [1048599, 1048349, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4250, 574639, F4, 31) (dual of [574639, 574389, 32]-code), using
- discarding factors / shortening the dual code based on linear OOA(4250, 574639, F4, 3, 31) (dual of [(574639, 3), 1723667, 32]-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.