Information on Result #681964

Linear OA(453, 73, F4, 29) (dual of [73, 20, 30]-code), using construction X applied to C([1,89]) ⊂ C([1,77]) based on
  1. linear OA(449, 63, F4, 29) (dual of [63, 14, 30]-code), using contraction [i] based on linear OA(4175, 189, F4, 89) (dual of [189, 14, 90]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,89], and designed minimum distance d ≥ |I|+1 = 90 [i]
  2. linear OA(443, 63, F4, 25) (dual of [63, 20, 26]-code), using contraction [i] based on linear OA(4169, 189, F4, 77) (dual of [189, 20, 78]-code), using the narrow-sense BCH-code C(I) with length 189 | 49−1, defining interval I = [1,77], and designed minimum distance d ≥ |I|+1 = 78 [i]
  3. linear OA(44, 10, F4, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,4)), 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

None.