Information on Result #736937
Linear OA(3110, 19722, F3, 17) (dual of [19722, 19612, 18]-code), using construction X applied to Ce(16) ⊂ Ce(10) based on
- linear OA(3100, 19683, F3, 17) (dual of [19683, 19583, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(364, 19683, F3, 11) (dual of [19683, 19619, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(3110, 9861, F3, 2, 17) (dual of [(9861, 2), 19612, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3110, 6574, F3, 3, 17) (dual of [(6574, 3), 19612, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3110, 3944, F3, 5, 17) (dual of [(3944, 5), 19610, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(3110, 2465, F3, 17, 17) (dual of [(2465, 17), 41795, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |