Information on Result #869098
Linear OOA(3223, 16387, F32, 2, 8) (dual of [(16387, 2), 32751, 9]-NRT-code), using OOA 2-folding based on linear OA(3223, 32774, F32, 8) (dual of [32774, 32751, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(3223, 32775, F32, 8) (dual of [32775, 32752, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(3222, 32768, F32, 8) (dual of [32768, 32746, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [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(3299, 4210688, F32, 2, 16) (dual of [(4210688, 2), 8421277, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(32104, 4210688, F32, 2, 17) (dual of [(4210688, 2), 8421272, 18]-NRT-code) | [i] | ||
| 3 | OOA(3297, 4210688, S32, 2, 16) | [i] | ||
| 4 | OOA(32101, 4210688, S32, 2, 17) | [i] | ||