Information on Result #1846638
(22, 40, 13107)-net in base 128, using base change based on digital (17, 35, 13107)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25635, 13107, F256, 5, 18) (dual of [(13107, 5), 65500, 19]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25635, 65535, F256, 18) (dual of [65535, 65500, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
- OOA 5-folding [i] based on linear OA(25635, 65535, F256, 18) (dual of [65535, 65500, 19]-code), using
Mode: Arbitrary.
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 | (23, 41, 13107)-net in base 128 | [i] | Net Duplication | |
| 2 | (22, 39, 13107)-net in base 128 | [i] | m-Reduction | |