Information on Result #3257975
Digital (171, 197, 80662)-net over F4, using 41 times duplication based on digital (170, 196, 80662)-net over F4, using
- net defined by OOA [i] based on linear OOA(4196, 80662, F4, 26, 26) (dual of [(80662, 26), 2097016, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(4196, 1048606, F4, 26) (dual of [1048606, 1048410, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4196, 1048611, F4, 26) (dual of [1048611, 1048415, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(4191, 1048576, F4, 26) (dual of [1048576, 1048385, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4161, 1048576, F4, 22) (dual of [1048576, 1048415, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(4196, 1048611, F4, 26) (dual of [1048611, 1048415, 27]-code), using
- OA 13-folding and stacking [i] based on linear OA(4196, 1048606, F4, 26) (dual of [1048606, 1048410, 27]-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.