Information on Result #738162

Linear OA(4194, 202, F4, 135) (dual of [202, 8, 136]-code), using juxtaposition based on
  1. linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  2. linear OA(4129, 137, F4, 91) (dual of [137, 8, 92]-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.

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 OA(4194, 202, F4, 134) (dual of [202, 8, 135]-code) [i]Strength Reduction
2Linear OA(4193, 201, F4, 134) (dual of [201, 8, 135]-code) [i]Truncation
3Linear OOA(4194, 101, F4, 2, 135) (dual of [(101, 2), 8, 136]-NRT-code) [i]OOA Folding