Information on Result #1195642
Digital (69, 94, 5462)-net over F16, using net defined by OOA based on linear OOA(1694, 5462, F16, 25, 25) (dual of [(5462, 25), 136456, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(1694, 65545, F16, 25) (dual of [65545, 65451, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(1693, 65536, F16, 25) (dual of [65536, 65443, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(1685, 65536, F16, 23) (dual of [65536, 65451, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(161, 9, F16, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Digital (70, 95, 5462)-net over F16 | [i] | Net Duplication | |
2 | Digital (71, 96, 5462)-net over F16 | [i] | ||
3 | Digital (72, 97, 5462)-net over F16 | [i] |