Information on Result #902294
Linear OOA(3291, 524323, F32, 2, 21) (dual of [(524323, 2), 1048555, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3210, 33, F32, 2, 10) (dual of [(33, 2), 56, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;56,32) [i]
- linear OOA(3281, 524290, F32, 2, 21) (dual of [(524290, 2), 1048499, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3281, 1048580, F32, 21) (dual of [1048580, 1048499, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(3281, 1048576, F32, 21) (dual of [1048576, 1048495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 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(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
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(3281, 1048580, F32, 21) (dual of [1048580, 1048499, 22]-code), 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(3291, 104864, F32, 22, 21) (dual of [(104864, 22), 2306917, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |