Information on Result #676659
Linear OA(3190, 753, F3, 47) (dual of [753, 563, 48]-code), using construction X applied to Ce(46) ⊂ Ce(42) based on
- linear OA(3184, 729, F3, 47) (dual of [729, 545, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3166, 729, F3, 43) (dual of [729, 563, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(3190, 251, F3, 3, 47) (dual of [(251, 3), 563, 48]-NRT-code) | [i] | OOA Folding | |