Information on Result #3257758
Digital (140, 163, 23835)-net over F4, using 42 times duplication based on digital (138, 161, 23835)-net over F4, using
- net defined by OOA [i] based on linear OOA(4161, 23835, F4, 23, 23) (dual of [(23835, 23), 548044, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(4161, 262186, F4, 23) (dual of [262186, 262025, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4161, 262187, F4, 23) (dual of [262187, 262026, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4161, 262187, F4, 23) (dual of [262187, 262026, 24]-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(4161, 262186, F4, 23) (dual of [262186, 262025, 24]-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.