Information on Result #2284124
Linear OA(9112, 531480, F9, 20) (dual of [531480, 531368, 21]-code), using 2 times code embedding in larger space based on linear OA(9110, 531478, F9, 20) (dual of [531478, 531368, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(9103, 531441, F9, 20) (dual of [531441, 531338, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(973, 531441, F9, 14) (dual of [531441, 531368, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(97, 37, F9, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 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(9112, 177160, F9, 3, 20) (dual of [(177160, 3), 531368, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9112, 53148, F9, 20, 20) (dual of [(53148, 20), 1062848, 21]-NRT-code) | [i] | OA Folding and Stacking | |