Information on Result #845348
Linear OOA(8136, 16386, F8, 2, 31) (dual of [(16386, 2), 32636, 32]-NRT-code), using OOA 2-folding based on linear OA(8136, 32772, F8, 31) (dual of [32772, 32636, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(8136, 32773, F8, 31) (dual of [32773, 32637, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- 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(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(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
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(8160, 16431, F8, 2, 31) (dual of [(16431, 2), 32702, 32]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8161, 16432, F8, 2, 31) (dual of [(16432, 2), 32703, 32]-NRT-code) | [i] | ||
| 3 | Linear OOA(8162, 16434, F8, 2, 31) (dual of [(16434, 2), 32706, 32]-NRT-code) | [i] | ||