Information on Result #1720790
Digital (226, 260, 70701)-net over F4, using net defined by OOA based on linear OOA(4260, 70701, F4, 39, 34) (dual of [(70701, 39), 2757079, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4260, 424207, F4, 3, 34) (dual of [(424207, 3), 1272361, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4260, 424208, F4, 3, 34) (dual of [(424208, 3), 1272364, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4260, 424208, F4, 2, 34) (dual of [(424208, 2), 848156, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4260, 524312, F4, 2, 34) (dual of [(524312, 2), 1048364, 35]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4259, 524312, F4, 2, 34) (dual of [(524312, 2), 1048365, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4259, 1048624, F4, 34) (dual of [1048624, 1048365, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(4251, 1048576, F4, 34) (dual of [1048576, 1048325, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(48, 48, F4, 4) (dual of [48, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(48, 85, F4, 4) (dual of [85, 77, 5]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- OOA 2-folding [i] based on linear OA(4259, 1048624, F4, 34) (dual of [1048624, 1048365, 35]-code), using
- 41 times duplication [i] based on linear OOA(4259, 524312, F4, 2, 34) (dual of [(524312, 2), 1048365, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4260, 524312, F4, 2, 34) (dual of [(524312, 2), 1048364, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4260, 424208, F4, 2, 34) (dual of [(424208, 2), 848156, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4260, 424208, F4, 3, 34) (dual of [(424208, 3), 1272364, 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.