Information on Result #681873

Linear OA(4208, 217, F4, 143) (dual of [217, 9, 144]-code), using construction X applied to Ce(142) ⊂ Ce(130) based on
  1. linear OA(4193, 196, F4, 143) (dual of [196, 3, 144]-code), using an extension Ce(142) of the narrow-sense BCH-code C(I) with length 195 | 46−1, defining interval I = [1,142], and designed minimum distance d ≥ |I|+1 = 143 [i]
  2. linear OA(4187, 196, F4, 131) (dual of [196, 9, 132]-code), using an extension Ce(130) of the narrow-sense BCH-code C(I) with length 195 | 46−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [i]
  3. linear OA(415, 21, F4, 11) (dual of [21, 6, 12]-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(4206, 215, F4, 141) (dual of [215, 9, 142]-code) [i]Truncation