Information on Result #709169

Linear OA(4226, 1087, F4, 55) (dual of [1087, 861, 56]-code), using construction XX applied to C1 = C([1017,42]), C2 = C([0,48]), C3 = C1 + C2 = C([0,42]), and C∩ = C1 ∩ C2 = C([1017,48]) based on
  1. linear OA(4186, 1023, F4, 49) (dual of [1023, 837, 50]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,42}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  2. linear OA(4181, 1023, F4, 49) (dual of [1023, 842, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
  3. linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,48}, and designed minimum distance d ≥ |I|+1 = 56 [i]
  4. linear OA(4161, 1023, F4, 43) (dual of [1023, 862, 44]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
  5. linear OA(410, 34, F4, 5) (dual of [34, 24, 6]-code), using
  6. linear OA(410, 30, F4, 5) (dual of [30, 20, 6]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4227, 1088, F4, 55) (dual of [1088, 861, 56]-code) [i]Code Embedding in Larger Space
2Linear OA(4228, 1089, F4, 55) (dual of [1089, 861, 56]-code) [i]
3Linear OA(4230, 1091, F4, 55) (dual of [1091, 861, 56]-code) [i]