Information on Result #706552

Linear OA(4110, 280, F4, 36) (dual of [280, 170, 37]-code), using construction XX applied to C1 = C([51,84]), C2 = C([57,86]), C3 = C1 + C2 = C([57,84]), and C∩ = C1 ∩ C2 = C([51,86]) based on
  1. linear OA(496, 255, F4, 34) (dual of [255, 159, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,84}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,86}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(4101, 255, F4, 36) (dual of [255, 154, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,86}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(482, 255, F4, 28) (dual of [255, 173, 29]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,84}, and designed minimum distance d ≥ |I|+1 = 29 [i]
  5. linear OA(48, 19, F4, 5) (dual of [19, 11, 6]-code), using
    • construction X applied to Ce(4) ⊂ Ce(2) [i] based on
      1. linear OA(47, 16, F4, 5) (dual of [16, 9, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
      2. linear OA(45, 16, F4, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
      3. linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
  6. linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-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

None.