Information on Result #3258723
Digital (204, 242, 3452)-net over F4, using 44 times duplication based on digital (200, 238, 3452)-net over F4, using
- net defined by OOA [i] based on linear OOA(4238, 3452, F4, 38, 38) (dual of [(3452, 38), 130938, 39]-NRT-code), using
- OA 19-folding and stacking [i] based on linear OA(4238, 65588, F4, 38) (dual of [65588, 65350, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(4238, 65589, F4, 38) (dual of [65589, 65351, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(413, 53, F4, 6) (dual of [53, 40, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(4238, 65589, F4, 38) (dual of [65589, 65351, 39]-code), using
- OA 19-folding and stacking [i] based on linear OA(4238, 65588, F4, 38) (dual of [65588, 65350, 39]-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.