Information on Result #1192972
Digital (136, 172, 1824)-net over F8, using net defined by OOA based on linear OOA(8172, 1824, F8, 36, 36) (dual of [(1824, 36), 65492, 37]-NRT-code), using
- OA 18-folding and stacking [i] based on linear OA(8172, 32832, F8, 36) (dual of [32832, 32660, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(8172, 32833, F8, 36) (dual of [32833, 32661, 37]-code), using
- construction X applied to Ce(35) ⊂ Ce(24) [i] based on
- linear OA(8156, 32768, F8, 36) (dual of [32768, 32612, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(816, 65, F8, 10) (dual of [65, 49, 11]-code), using
- construction X applied to Ce(35) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(8172, 32833, F8, 36) (dual of [32833, 32661, 37]-code), using
Mode: Constructive and linear.
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 | Digital (137, 173, 1824)-net over F8 | [i] | Net Duplication | |