Information on Result #706892

Linear OA(4136, 287, F4, 45) (dual of [287, 151, 46]-code), using construction XX applied to C1 = C([45,85]), C2 = C([51,89]), C3 = C1 + C2 = C([51,85]), and C∩ = C1 ∩ C2 = C([45,89]) based on
  1. linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {45,46,…,85}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,89}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(4125, 255, F4, 45) (dual of [255, 130, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {45,46,…,89}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  4. linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,85}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  5. 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]
  6. linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-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.

Other Results with Identical Parameters

None.

Depending Results

None.