Information on Result #3257292
Digital (106, 123, 131073)-net over F4, using 41 times duplication based on digital (105, 122, 131073)-net over F4, using
- net defined by OOA [i] based on linear OOA(4122, 131073, F4, 17, 17) (dual of [(131073, 17), 2228119, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4122, 1048585, F4, 17) (dual of [1048585, 1048463, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4122, 1048587, F4, 17) (dual of [1048587, 1048465, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(4121, 1048576, F4, 17) (dual of [1048576, 1048455, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(4122, 1048587, F4, 17) (dual of [1048587, 1048465, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4122, 1048585, F4, 17) (dual of [1048585, 1048463, 18]-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.