Information on Result #737799
Linear OA(8171, 32807, F8, 37) (dual of [32807, 32636, 38]-code), using construction X applied to Ce(36) ⊂ Ce(29) 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(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(810, 39, F8, 6) (dual of [39, 29, 7]-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(8171, 16403, F8, 2, 37) (dual of [(16403, 2), 32635, 38]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8171, 10935, F8, 3, 37) (dual of [(10935, 3), 32634, 38]-NRT-code) | [i] | ||