Information on Result #1841945
(20, 36, 8192)-net in base 128, using net defined by OOA based on OOA(12836, 8192, S128, 16, 16), using
- OA 8-folding and stacking [i] based on OA(12836, 65536, S128, 16), using
- discarding factors based on OA(12836, 65538, S128, 16), using
- discarding parts of the base [i] based on linear OA(25631, 65538, F256, 16) (dual of [65538, 65507, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- discarding parts of the base [i] based on linear OA(25631, 65538, F256, 16) (dual of [65538, 65507, 17]-code), using
- discarding factors based on OA(12836, 65538, S128, 16), 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 | (28, 44, 8321)-net in base 128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (29, 45, 8342)-net in base 128 | [i] | ||