Information on Result #736923
Linear OA(3200, 19722, F3, 32) (dual of [19722, 19522, 33]-code), using construction X applied to Ce(31) ⊂ Ce(25) based on
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(310, 39, F3, 5) (dual of [39, 29, 6]-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(3200, 9861, F3, 2, 32) (dual of [(9861, 2), 19522, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3200, 6574, F3, 3, 32) (dual of [(6574, 3), 19522, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3200, 3944, F3, 5, 32) (dual of [(3944, 5), 19520, 33]-NRT-code) | [i] | ||