Information on Result #696551
Linear OA(3269, 1048580, F32, 18) (dual of [1048580, 1048511, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- 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(3265, 1048576, F32, 17) (dual of [1048576, 1048511, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(3279, 1048624, F32, 18) (dual of [1048624, 1048545, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3280, 1048626, F32, 18) (dual of [1048626, 1048546, 19]-code) | [i] | ||
| 3 | Linear OA(3281, 1048644, F32, 18) (dual of [1048644, 1048563, 19]-code) | [i] | ||
| 4 | Linear OA(3282, 1048646, F32, 18) (dual of [1048646, 1048564, 19]-code) | [i] | ||
| 5 | Linear OA(3283, 1048657, F32, 18) (dual of [1048657, 1048574, 19]-code) | [i] | ||
| 6 | Linear OA(3284, 1048677, F32, 18) (dual of [1048677, 1048593, 19]-code) | [i] | ||
| 7 | Linear OA(3285, 1048679, F32, 18) (dual of [1048679, 1048594, 19]-code) | [i] | ||
| 8 | Linear OOA(3269, 524290, F32, 2, 18) (dual of [(524290, 2), 1048511, 19]-NRT-code) | [i] | OOA Folding | |