Information on Result #1183670
Digital (78, 90, 29528)-net over F3, using net defined by OOA based on linear OOA(390, 29528, F3, 12, 12) (dual of [(29528, 12), 354246, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(390, 177168, F3, 12) (dual of [177168, 177078, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(390, 177170, F3, 12) (dual of [177170, 177080, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(390, 177170, F3, 12) (dual of [177170, 177080, 13]-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 (79, 91, 29528)-net over F3 | [i] | Net Duplication | |