Information on Result #677655

Linear OA(3136, 150, F3, 76) (dual of [150, 14, 77]-code), using construction X applied to Ce(75) ⊂ Ce(60) based on
  1. linear OA(3116, 122, F3, 76) (dual of [122, 6, 77]-code), using an extension Ce(75) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,75], and designed minimum distance d ≥ |I|+1 = 76 [i]
  2. linear OA(3106, 122, F3, 61) (dual of [122, 16, 62]-code), using an extension Ce(60) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
  3. linear OA(320, 28, F3, 14) (dual of [28, 8, 15]-code), using
    • contraction [i] based on linear OA(348, 56, F3, 29) (dual of [56, 8, 30]-code), using the BCH-code C(I) with length 56 | 36−1, defining interval I = {0,1,…,28}, and designed minimum distance d ≥ |I|+1 = 30 [i]

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3136, 75, F3, 2, 76) (dual of [(75, 2), 14, 77]-NRT-code) [i]OOA Folding
2Linear OOA(3136, 50, F3, 3, 76) (dual of [(50, 3), 14, 77]-NRT-code) [i]
3Linear OOA(3136, 30, F3, 5, 76) (dual of [(30, 5), 14, 77]-NRT-code) [i]