Information on Result #1188030
Digital (212, 254, 3122)-net over F4, using net defined by OOA based on linear OOA(4254, 3122, F4, 42, 42) (dual of [(3122, 42), 130870, 43]-NRT-code), using
- OA 21-folding and stacking [i] based on linear OA(4254, 65562, F4, 42) (dual of [65562, 65308, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(4254, 65565, F4, 42) (dual of [65565, 65311, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(37) [i] based on
- linear OA(4249, 65536, F4, 42) (dual of [65536, 65287, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(45, 29, F4, 3) (dual of [29, 24, 4]-code or 29-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(41) ⊂ Ce(37) [i] based on
- discarding factors / shortening the dual code based on linear OA(4254, 65565, F4, 42) (dual of [65565, 65311, 43]-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 (213, 255, 3122)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (214, 256, 3122)-net over F4 | [i] | ||
| 3 | Digital (215, 257, 3122)-net over F4 | [i] | ||
| 4 | Digital (216, 258, 3122)-net over F4 | [i] | ||
| 5 | Digital (217, 259, 3122)-net over F4 | [i] | ||
| 6 | Digital (218, 260, 3122)-net over F4 | [i] | ||