Information on Result #869692
Linear OOA(3278, 524292, F32, 2, 20) (dual of [(524292, 2), 1048506, 21]-NRT-code), using OOA 2-folding based on linear OA(3278, 1048584, F32, 20) (dual of [1048584, 1048506, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3278, 1048585, F32, 20) (dual of [1048585, 1048507, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(3277, 1048576, F32, 20) (dual of [1048576, 1048499, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
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(3289, 524336, F32, 2, 20) (dual of [(524336, 2), 1048583, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3291, 524356, F32, 2, 20) (dual of [(524356, 2), 1048621, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3293, 524368, F32, 2, 20) (dual of [(524368, 2), 1048643, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3295, 524390, F32, 2, 20) (dual of [(524390, 2), 1048685, 21]-NRT-code) | [i] | ||