Information on Result #869844
Linear OOA(3285, 524290, F32, 2, 22) (dual of [(524290, 2), 1048495, 23]-NRT-code), using OOA 2-folding based on linear OA(3285, 1048580, F32, 22) (dual of [1048580, 1048495, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(3285, 1048576, F32, 22) (dual of [1048576, 1048491, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3281, 1048576, F32, 21) (dual of [1048576, 1048495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3296, 524323, F32, 2, 22) (dual of [(524323, 2), 1048550, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3297, 524334, F32, 2, 22) (dual of [(524334, 2), 1048571, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(3299, 524354, F32, 2, 22) (dual of [(524354, 2), 1048609, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(32101, 524366, F32, 2, 22) (dual of [(524366, 2), 1048631, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(32102, 524367, F32, 2, 22) (dual of [(524367, 2), 1048632, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(32103, 524388, F32, 2, 22) (dual of [(524388, 2), 1048673, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(32105, 524398, F32, 2, 22) (dual of [(524398, 2), 1048691, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(32105, 524400, F32, 2, 22) (dual of [(524400, 2), 1048695, 23]-NRT-code) | [i] | ||