Information on Result #686838
Linear OA(8157, 32794, F8, 35) (dual of [32794, 32637, 36]-code), using construction X applied to Ce(34) ⊂ Ce(29) based on
- linear OA(8151, 32768, F8, 35) (dual of [32768, 32617, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(86, 26, F8, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-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(8157, 32794, F8, 2, 35) (dual of [(32794, 2), 65431, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8157, 32794, F8, 3, 35) (dual of [(32794, 3), 98225, 36]-NRT-code) | [i] | ||
| 3 | Digital (122, 157, 32794)-net over F8 | [i] | ||
| 4 | Linear OOA(8157, 16397, F8, 2, 35) (dual of [(16397, 2), 32637, 36]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8157, 10931, F8, 3, 35) (dual of [(10931, 3), 32636, 36]-NRT-code) | [i] | ||
| 6 | Linear OOA(8157, 1929, F8, 35, 35) (dual of [(1929, 35), 67358, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |