Information on Result #686864
Linear OA(8168, 32800, F8, 37) (dual of [32800, 32632, 38]-code), using construction X applied to Ce(36) ⊂ Ce(30) based on
- linear OA(8161, 32768, F8, 37) (dual of [32768, 32607, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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 OA(8169, 32801, F8, 37) (dual of [32801, 32632, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8170, 32802, F8, 37) (dual of [32802, 32632, 38]-code) | [i] | ||
| 3 | Linear OOA(8168, 16400, F8, 2, 37) (dual of [(16400, 2), 32632, 38]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8168, 10933, F8, 3, 37) (dual of [(10933, 3), 32631, 38]-NRT-code) | [i] | ||
| 5 | Linear OOA(8168, 1822, F8, 37, 37) (dual of [(1822, 37), 67246, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |