Information on Result #1115747

Linear OOA(2222, 1677734, F2, 5, 14) (dual of [(1677734, 5), 8388448, 15]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(262, 1048574, F2, 5, 7) (dual of [(1048574, 5), 5242808, 8]-NRT-code), using
  2. linear OOA(2160, 838867, F2, 5, 14) (dual of [(838867, 5), 4194175, 15]-NRT-code), using
    • OOA 5-folding [i] based on linear OA(2160, 4194335, F2, 14) (dual of [4194335, 4194175, 15]-code), using
      • 1 times truncation [i] based on linear OA(2161, 4194336, F2, 15) (dual of [4194336, 4194175, 16]-code), using
        • construction X applied to Ce(14) ⊂ Ce(10) [i] based on
          1. linear OA(2155, 4194304, F2, 15) (dual of [4194304, 4194149, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
          2. linear OA(2111, 4194304, F2, 11) (dual of [4194304, 4194193, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
          3. linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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.