Information on Result #3166945
Digital (133, 153, 104859)-net over F4, using 1 times m-reduction based on digital (133, 154, 104859)-net over F4, using
- net defined by OOA [i] based on linear OOA(4154, 104859, F4, 21, 21) (dual of [(104859, 21), 2201885, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4154, 1048591, F4, 21) (dual of [1048591, 1048437, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4154, 1048597, F4, 21) (dual of [1048597, 1048443, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- linear OA(4151, 1048576, F4, 21) (dual of [1048576, 1048425, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(4131, 1048576, F4, 18) (dual of [1048576, 1048445, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(20) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(4154, 1048597, F4, 21) (dual of [1048597, 1048443, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4154, 1048591, F4, 21) (dual of [1048591, 1048437, 22]-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.