Information on Result #1011783

Linear OOA(496, 2796228, F4, 3, 9) (dual of [(2796228, 3), 8388588, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(424, 2796203, F4, 3, 4) (dual of [(2796203, 3), 8388585, 5]-NRT-code), using
  2. linear OOA(472, 1398114, F4, 3, 9) (dual of [(1398114, 3), 4194270, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(472, 4194342, F4, 9) (dual of [4194342, 4194270, 10]-code), using
      • construction X applied to Ce(8) ⊂ Ce(4) [i] based on
        1. linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
        2. linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
        3. linear OA(45, 38, F4, 3) (dual of [38, 33, 4]-code or 38-cap in PG(4,4)), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.