Information on Result #1189110
Digital (81, 98, 9769)-net over F5, using net defined by OOA based on linear OOA(598, 9769, F5, 17, 17) (dual of [(9769, 17), 165975, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(598, 78153, F5, 17) (dual of [78153, 78055, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(598, 78155, F5, 17) (dual of [78155, 78057, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(16) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(598, 78155, F5, 17) (dual of [78155, 78057, 18]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (82, 99, 9769)-net over F5 | [i] | Net Duplication | |