Information on Result #3258386
Digital (166, 198, 4097)-net over F4, using 42 times duplication based on digital (164, 196, 4097)-net over F4, using
- t-expansion [i] based on digital (163, 196, 4097)-net over F4, using
- net defined by OOA [i] based on linear OOA(4196, 4097, F4, 33, 33) (dual of [(4097, 33), 135005, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(4196, 65553, F4, 33) (dual of [65553, 65357, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4196, 65555, F4, 33) (dual of [65555, 65359, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(43, 19, F4, 2) (dual of [19, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- construction X applied to Ce(32) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(4196, 65555, F4, 33) (dual of [65555, 65359, 34]-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(4196, 65553, F4, 33) (dual of [65553, 65357, 34]-code), using
- net defined by OOA [i] based on linear OOA(4196, 4097, F4, 33, 33) (dual of [(4097, 33), 135005, 34]-NRT-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.