Information on Result #1186280
Digital (56, 69, 2734)-net over F4, using net defined by OOA based on linear OOA(469, 2734, F4, 13, 13) (dual of [(2734, 13), 35473, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(469, 16405, F4, 13) (dual of [16405, 16336, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(469, 16410, F4, 13) (dual of [16410, 16341, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(45, 26, F4, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(469, 16410, F4, 13) (dual of [16410, 16341, 14]-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 (56, 68, 2734)-net over F4 | [i] | m-Reduction | |