Information on Result #686782
Linear OA(879, 32781, F8, 18) (dual of [32781, 32702, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
- linear OA(876, 32768, F8, 18) (dual of [32768, 32692, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(866, 32768, F8, 15) (dual of [32768, 32702, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(83, 13, F8, 2) (dual of [13, 10, 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(879, 24538, F8, 2, 18) (dual of [(24538, 2), 48997, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(879, 24538, F8, 3, 18) (dual of [(24538, 3), 73535, 19]-NRT-code) | [i] | ||
| 3 | Digital (61, 79, 24538)-net over F8 | [i] | ||
| 4 | Linear OOA(879, 16390, F8, 2, 18) (dual of [(16390, 2), 32701, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(879, 10927, F8, 3, 18) (dual of [(10927, 3), 32702, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(879, 3642, F8, 18, 18) (dual of [(3642, 18), 65477, 19]-NRT-code) | [i] | OA Folding and Stacking | |