Information on Result #1840257
(104, 130, 5041)-net in base 8, using net defined by OOA based on OOA(8130, 5041, S8, 26, 26), using
- OA 13-folding and stacking [i] based on OA(8130, 65533, S8, 26), using
- discarding factors based on OA(8130, 65540, S8, 26), using
- discarding parts of the base [i] based on linear OA(1697, 65540, F16, 26) (dual of [65540, 65443, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(1697, 65536, F16, 26) (dual of [65536, 65439, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1693, 65536, F16, 25) (dual of [65536, 65443, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(160, 4, F16, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- discarding parts of the base [i] based on linear OA(1697, 65540, F16, 26) (dual of [65540, 65443, 27]-code), using
- discarding factors based on OA(8130, 65540, S8, 26), 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 | (105, 131, 5041)-net in base 8 | [i] | Net Duplication | |