Information on Result #869620
Linear OOA(3273, 524290, F32, 2, 19) (dual of [(524290, 2), 1048507, 20]-NRT-code), using OOA 2-folding based on linear OA(3273, 1048580, F32, 19) (dual of [1048580, 1048507, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(3273, 1048576, F32, 19) (dual of [1048576, 1048503, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3269, 1048576, F32, 18) (dual of [1048576, 1048507, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(3282, 524323, F32, 2, 19) (dual of [(524323, 2), 1048564, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3283, 524334, F32, 2, 19) (dual of [(524334, 2), 1048585, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(3285, 524354, F32, 2, 19) (dual of [(524354, 2), 1048623, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3286, 524356, F32, 2, 19) (dual of [(524356, 2), 1048626, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(3287, 524367, F32, 2, 19) (dual of [(524367, 2), 1048647, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(3288, 524378, F32, 2, 19) (dual of [(524378, 2), 1048668, 20]-NRT-code) | [i] | ||
| 7 | Linear OOA(3289, 524388, F32, 2, 19) (dual of [(524388, 2), 1048687, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(3289, 524389, F32, 2, 19) (dual of [(524389, 2), 1048689, 20]-NRT-code) | [i] | ||