Information on Result #869045
Linear OOA(3217, 524290, F32, 2, 5) (dual of [(524290, 2), 1048563, 6]-NRT-code), using OOA 2-folding based on linear OA(3217, 1048580, F32, 5) (dual of [1048580, 1048563, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(3217, 1048576, F32, 5) (dual of [1048576, 1048559, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(3213, 1048576, F32, 4) (dual of [1048576, 1048563, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(3219, 524323, F32, 2, 5) (dual of [(524323, 2), 1048627, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3220, 525347, F32, 2, 5) (dual of [(525347, 2), 1050674, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(3263, 4718591, F32, 2, 10) (dual of [(4718591, 2), 9437119, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(3268, 4718591, F32, 2, 11) (dual of [(4718591, 2), 9437114, 12]-NRT-code) | [i] | ||
| 5 | OOA(3262, 4718591, S32, 2, 10) | [i] | ||
| 6 | OOA(3267, 4718591, S32, 2, 11) | [i] | ||
| 7 | Linear OOA(3225, large, F32, 2, 5) | [i] | Generalized (u, u+v)-Construction for OOAs | |