Information on Result #677215

Linear OA(3237, 258, F3, 135) (dual of [258, 21, 136]-code), using construction X applied to Ce(151) ⊂ Ce(130) based on
  1. linear OA(3232, 243, F3, 152) (dual of [243, 11, 153]-code), using an extension Ce(151) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,151], and designed minimum distance d ≥ |I|+1 = 152 [i]
  2. linear OA(3222, 243, F3, 131) (dual of [243, 21, 132]-code), using an extension Ce(130) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
  3. linear OA(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-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(3237, 129, F3, 2, 135) (dual of [(129, 2), 21, 136]-NRT-code) [i]OOA Folding
2Linear OOA(3237, 86, F3, 3, 135) (dual of [(86, 3), 21, 136]-NRT-code) [i]