Information on Result #1719938
Digital (190, 218, 104861)-net over F4, using net defined by OOA based on linear OOA(4218, 104861, F4, 33, 28) (dual of [(104861, 33), 3460195, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4218, 524306, F4, 3, 28) (dual of [(524306, 3), 1572700, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4218, 524309, F4, 3, 28) (dual of [(524309, 3), 1572709, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4218, 524309, F4, 2, 28) (dual of [(524309, 2), 1048400, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4218, 1048618, F4, 28) (dual of [1048618, 1048400, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4218, 1048619, F4, 28) (dual of [1048619, 1048401, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4171, 1048576, F4, 23) (dual of [1048576, 1048405, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(4218, 1048619, F4, 28) (dual of [1048619, 1048401, 29]-code), using
- OOA 2-folding [i] based on linear OA(4218, 1048618, F4, 28) (dual of [1048618, 1048400, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4218, 524309, F4, 2, 28) (dual of [(524309, 2), 1048400, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4218, 524309, F4, 3, 28) (dual of [(524309, 3), 1572709, 29]-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.