Information on Result #696835
Linear OA(3261, 32771, F32, 21) (dual of [32771, 32710, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(3261, 32768, F32, 21) (dual of [32768, 32707, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 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(3272, 32815, F32, 21) (dual of [32815, 32743, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3273, 32817, F32, 21) (dual of [32817, 32744, 22]-code) | [i] | ||
| 3 | Linear OA(3274, 32835, F32, 21) (dual of [32835, 32761, 22]-code) | [i] | ||
| 4 | Linear OA(3275, 32837, F32, 21) (dual of [32837, 32762, 22]-code) | [i] | ||
| 5 | Linear OA(3276, 32847, F32, 21) (dual of [32847, 32771, 22]-code) | [i] | ||
| 6 | Linear OA(3277, 32866, F32, 21) (dual of [32866, 32789, 22]-code) | [i] | ||
| 7 | Linear OA(3278, 32869, F32, 21) (dual of [32869, 32791, 22]-code) | [i] | ||
| 8 | Linear OA(3279, 32872, F32, 21) (dual of [32872, 32793, 22]-code) | [i] | ||
| 9 | Linear OA(3280, 33798, F32, 21) (dual of [33798, 33718, 22]-code) | [i] | ||
| 10 | Linear OOA(3261, 16385, F32, 2, 21) (dual of [(16385, 2), 32709, 22]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(3261, 3277, F32, 21, 21) (dual of [(3277, 21), 68756, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |