Information on Result #676671
Linear OA(3154, 753, F3, 38) (dual of [753, 599, 39]-code), using construction X applied to Ce(37) ⊂ Ce(33) based on
- linear OA(3148, 729, F3, 38) (dual of [729, 581, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-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 OOA(3154, 730, F3, 2, 38) (dual of [(730, 2), 1306, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3154, 730, F3, 3, 38) (dual of [(730, 3), 2036, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3154, 730, F3, 4, 38) (dual of [(730, 4), 2766, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3154, 730, F3, 5, 38) (dual of [(730, 5), 3496, 39]-NRT-code) | [i] | ||
| 5 | Digital (116, 154, 730)-net over F3 | [i] | ||
| 6 | Linear OOA(3154, 251, F3, 3, 38) (dual of [(251, 3), 599, 39]-NRT-code) | [i] | OOA Folding | |