Information on Result #3264246
Digital (77, 104, 5042)-net over F16, using 161 times duplication based on digital (76, 103, 5042)-net over F16, using
- net defined by OOA [i] based on linear OOA(16103, 5042, F16, 27, 27) (dual of [(5042, 27), 136031, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(16103, 65547, F16, 27) (dual of [65547, 65444, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, 65550, F16, 27) (dual of [65550, 65447, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- linear OA(16101, 65536, F16, 27) (dual of [65536, 65435, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(1689, 65536, F16, 24) (dual of [65536, 65447, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(162, 14, F16, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- construction X applied to Ce(26) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(16103, 65550, F16, 27) (dual of [65550, 65447, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(16103, 65547, F16, 27) (dual of [65547, 65444, 28]-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.