Information on Result #681885

Linear OA(4199, 206, F4, 141) (dual of [206, 7, 142]-code), using construction X applied to Ce(140) ⊂ Ce(128) based on
  1. linear OA(4186, 190, F4, 141) (dual of [190, 4, 142]-code), using an extension Ce(140) of 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 [i]
  2. linear OA(4183, 190, F4, 129) (dual of [190, 7, 130]-code), using an extension Ce(128) of the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,128], and designed minimum distance d ≥ |I|+1 = 129 [i]
  3. linear OA(413, 16, F4, 11) (dual of [16, 3, 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(4199, 206, F4, 140) (dual of [206, 7, 141]-code) [i]Strength Reduction