Information on Result #1188934
Digital (57, 72, 2231)-net over F5, using net defined by OOA based on linear OOA(572, 2231, F5, 15, 15) (dual of [(2231, 15), 33393, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(572, 15618, F5, 15) (dual of [15618, 15546, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(572, 15624, F5, 15) (dual of [15624, 15552, 16]-code), using
- 1 times truncation [i] based on linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(572, 15624, F5, 15) (dual of [15624, 15552, 16]-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 (64, 79, 2237)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (65, 80, 2241)-net over F5 | [i] | ||
| 3 | Digital (66, 81, 2243)-net over F5 | [i] | ||
| 4 | Digital (67, 82, 2256)-net over F5 | [i] | ||