Information on Result #677255

Linear OA(397, 257, F3, 30) (dual of [257, 160, 31]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
  1. linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(381, 243, F3, 25) (dual of [243, 162, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(36, 14, F3, 4) (dual of [14, 8, 5]-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 OOA(397, 128, F3, 2, 30) (dual of [(128, 2), 159, 31]-NRT-code) [i]OOA Folding
2Linear OOA(397, 85, F3, 3, 30) (dual of [(85, 3), 158, 31]-NRT-code) [i]