Information on Result #681900

Linear OA(4185, 189, F4, 140) (dual of [189, 4, 141]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,140], and designed minimum distance d ≥ |I|+1 = 141

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(459, 63, F4, 46) (dual of [63, 4, 47]-code) [i]Contraction (with Narrow-Sense BCH-Code)
2Linear OA(4206, 214, F4, 143) (dual of [214, 8, 144]-code) [i]Construction XX with Cyclic Codes
3Linear OA(4201, 208, F4, 143) (dual of [208, 7, 144]-code) [i]
4Linear OA(4194, 201, F4, 137) (dual of [201, 7, 138]-code) [i]
5Linear OA(4191, 198, F4, 135) (dual of [198, 7, 136]-code) [i]
6Linear OOA(4185, 63, F4, 3, 140) (dual of [(63, 3), 4, 141]-NRT-code) [i]OOA Folding