Information on Result #676663
Linear OA(3178, 753, F3, 44) (dual of [753, 575, 45]-code), using construction X applied to Ce(43) ⊂ Ce(39) based on
- linear OA(3172, 729, F3, 44) (dual of [729, 557, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3154, 729, F3, 40) (dual of [729, 575, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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(3178, 251, F3, 3, 44) (dual of [(251, 3), 575, 45]-NRT-code) | [i] | OOA Folding | |