Information on Result #1823876
(109, 136, 5041)-net in base 8, using base change based on digital (75, 102, 5041)-net over F16, using
- 161 times duplication [i] based on digital (74, 101, 5041)-net over F16, using
- net defined by OOA [i] based on linear OOA(16101, 5041, F16, 27, 27) (dual of [(5041, 27), 136006, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(16101, 65534, F16, 27) (dual of [65534, 65433, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(16101, 65536, F16, 27) (dual of [65536, 65435, 28]-code), using
- an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- discarding factors / shortening the dual code based on linear OA(16101, 65536, F16, 27) (dual of [65536, 65435, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(16101, 65534, F16, 27) (dual of [65534, 65433, 28]-code), using
- net defined by OOA [i] based on linear OOA(16101, 5041, F16, 27, 27) (dual of [(5041, 27), 136006, 28]-NRT-code), using
Mode: Constructive.
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 | (110, 137, 5041)-net in base 8 | [i] | Net Duplication | |