Information on Result #697027
Linear OA(3266, 32801, F32, 20) (dual of [32801, 32735, 21]-code), using construction X applied to Ce(19) ⊂ Ce(10) based on
- 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(3231, 32768, F32, 11) (dual of [32768, 32737, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(328, 33, F32, 8) (dual of [33, 25, 9]-code or 33-arc in PG(7,32)), using
- extended Reed–Solomon code RSe(25,32) [i]
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(3266, 16400, F32, 2, 20) (dual of [(16400, 2), 32734, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3266, 3280, F32, 20, 20) (dual of [(3280, 20), 65534, 21]-NRT-code) | [i] | OA Folding and Stacking | |