Information on Result #1846652
(31, 56, 11731)-net in base 128, using base change based on digital (24, 49, 11731)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25649, 11731, F256, 5, 25) (dual of [(11731, 5), 58606, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25649, 13107, F256, 5, 25) (dual of [(13107, 5), 65486, 26]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25649, 65535, F256, 25) (dual of [65535, 65486, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, 65536, F256, 25) (dual of [65536, 65487, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(25649, 65536, F256, 25) (dual of [65536, 65487, 26]-code), using
- OOA 5-folding [i] based on linear OA(25649, 65535, F256, 25) (dual of [65535, 65486, 26]-code), using
- discarding factors / shortening the dual code based on linear OOA(25649, 13107, F256, 5, 25) (dual of [(13107, 5), 65486, 26]-NRT-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 | (32, 57, 11731)-net in base 128 | [i] | Net Duplication | |
| 2 | (31, 55, 11731)-net in base 128 | [i] | m-Reduction | |