Information on Result #1188920
Digital (45, 60, 446)-net over F5, using net defined by OOA based on linear OOA(560, 446, F5, 15, 15) (dual of [(446, 15), 6630, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(560, 3123, F5, 15) (dual of [3123, 3063, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 16]-code), using
- 1 times truncation [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 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 (52, 67, 452)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (53, 68, 456)-net over F5 | [i] | ||
| 3 | Digital (54, 69, 458)-net over F5 | [i] | ||
| 4 | Digital (55, 70, 471)-net over F5 | [i] | ||