Information on Result #738161

Linear OA(4129, 137, F4, 91) (dual of [137, 8, 92]-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(464, 72, F4, 47) (dual of [72, 8, 48]-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(4131, 139, F4, 91) (dual of [139, 8, 92]-code) [i]Code Embedding in Larger Space
2Linear OA(4125, 133, F4, 87) (dual of [133, 8, 88]-code) [i]Truncation
3Linear OA(4124, 132, F4, 86) (dual of [132, 8, 87]-code) [i]
4Linear OA(4123, 131, F4, 85) (dual of [131, 8, 86]-code) [i]
5Linear OA(4121, 129, F4, 83) (dual of [129, 8, 84]-code) [i]
6Linear OA(4119, 127, F4, 81) (dual of [127, 8, 82]-code) [i]
7Linear OA(4117, 125, F4, 79) (dual of [125, 8, 80]-code) [i]
8Linear OA(4115, 123, F4, 77) (dual of [123, 8, 78]-code) [i]
9Linear OA(4194, 202, F4, 135) (dual of [202, 8, 136]-code) [i]Juxtaposition