Information on Result #3258049
Digital (163, 190, 20168)-net over F4, using 42 times duplication based on digital (161, 188, 20168)-net over F4, using
- net defined by OOA [i] based on linear OOA(4188, 20168, F4, 27, 27) (dual of [(20168, 27), 544348, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4188, 262185, F4, 27) (dual of [262185, 261997, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4188, 262187, F4, 27) (dual of [262187, 261999, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- linear OA(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(26) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4188, 262187, F4, 27) (dual of [262187, 261999, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4188, 262185, F4, 27) (dual of [262185, 261997, 28]-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.