Information on Result #737119

Linear OA(3243, 259, F3, 143) (dual of [259, 16, 144]-code), using construction X applied to Ce(151) ⊂ Ce(133) 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(3227, 243, F3, 134) (dual of [243, 16, 135]-code), using an extension Ce(133) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,133], and designed minimum distance d ≥ |I|+1 = 134 [i]
  3. linear OA(311, 16, F3, 8) (dual of [16, 5, 9]-code), 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 OA(3243, 259, F3, 142) (dual of [259, 16, 143]-code) [i]Strength Reduction
2Linear OA(3243, 259, F3, 141) (dual of [259, 16, 142]-code) [i]
3Linear OA(3242, 258, F3, 142) (dual of [258, 16, 143]-code) [i]Truncation
4Linear OA(3241, 257, F3, 141) (dual of [257, 16, 142]-code) [i]
5Linear OA(3240, 256, F3, 140) (dual of [256, 16, 141]-code) [i]
6Linear OA(3239, 255, F3, 139) (dual of [255, 16, 140]-code) [i]