Information on Result #674590
Linear OA(3151, 531483, F3, 18) (dual of [531483, 531332, 19]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(3145, 531441, F3, 19) (dual of [531441, 531296, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3109, 531441, F3, 14) (dual of [531441, 531332, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(3152, 531484, F3, 18) (dual of [531484, 531332, 19]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3151, 265741, F3, 2, 18) (dual of [(265741, 2), 531331, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3151, 177161, F3, 3, 18) (dual of [(177161, 3), 531332, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(3151, 132870, F3, 4, 18) (dual of [(132870, 4), 531329, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(3151, 106296, F3, 5, 18) (dual of [(106296, 5), 531329, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(3151, 59053, F3, 18, 18) (dual of [(59053, 18), 1062803, 19]-NRT-code) | [i] | OA Folding and Stacking | |