Information on Result #676297

Linear OA(3230, 1114, F3, 50) (dual of [1114, 884, 51]-code), using construction X applied to Ce(49) ⊂ Ce(45) based on
  1. linear OA(3225, 1094, F3, 50) (dual of [1094, 869, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
  2. linear OA(3204, 1094, F3, 46) (dual of [1094, 890, 47]-code), using an extension Ce(45) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), 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:

ResultThis
result
only
Method
1Linear OOA(3230, 557, F3, 2, 50) (dual of [(557, 2), 884, 51]-NRT-code) [i]OOA Folding
2Linear OOA(3230, 371, F3, 3, 50) (dual of [(371, 3), 883, 51]-NRT-code) [i]