Information on Result #1187702
Digital (221, 250, 299599)-net over F4, using net defined by OOA based on linear OOA(4250, 299599, F4, 29, 29) (dual of [(299599, 29), 8688121, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4250, 4194387, F4, 29) (dual of [4194387, 4194137, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4250, 4194388, F4, 29) (dual of [4194388, 4194138, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(418, 84, F4, 7) (dual of [84, 66, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(4250, 4194388, F4, 29) (dual of [4194388, 4194138, 30]-code), using
Mode: Constructive and 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.