Information on Result #696563
Linear OA(3237, 1048580, F32, 10) (dual of [1048580, 1048543, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(3237, 1048576, F32, 10) (dual of [1048576, 1048539, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(3233, 1048576, F32, 9) (dual of [1048576, 1048543, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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 OA(3242, 1048613, F32, 10) (dual of [1048613, 1048571, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3243, 1048624, F32, 10) (dual of [1048624, 1048581, 11]-code) | [i] | ||
| 3 | Linear OA(3244, 1049573, F32, 10) (dual of [1049573, 1049529, 11]-code) | [i] | ||
| 4 | Linear OOA(3237, 524290, F32, 2, 10) (dual of [(524290, 2), 1048543, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3237, 209716, F32, 10, 10) (dual of [(209716, 10), 2097123, 11]-NRT-code) | [i] | OA Folding and Stacking | |