Information on Result #613527

Linear OA(4181, 189, F4, 125) (dual of [189, 8, 126]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,125], and designed minimum distance d ≥ |I|+1 = 126

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(455, 63, F4, 41) (dual of [63, 8, 42]-code) [i]Contraction (with Narrow-Sense BCH-Code)
2Linear OA(4184, 192, F4, 128) (dual of [192, 8, 129]-code) [i]Construction X with Cyclic Codes
3Linear OA(4206, 214, F4, 143) (dual of [214, 8, 144]-code) [i]Construction XX with Cyclic Codes