Information on Result #686817
Linear OA(899, 32786, F8, 22) (dual of [32786, 32687, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(83, 18, F8, 2) (dual of [18, 15, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(899, 31564, F8, 2, 22) (dual of [(31564, 2), 63029, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(899, 31564, F8, 3, 22) (dual of [(31564, 3), 94593, 23]-NRT-code) | [i] | ||
| 3 | Digital (77, 99, 31564)-net over F8 | [i] | ||
| 4 | Linear OOA(899, 16393, F8, 2, 22) (dual of [(16393, 2), 32687, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(899, 10928, F8, 3, 22) (dual of [(10928, 3), 32685, 23]-NRT-code) | [i] | ||