Information on Result #1159769

Linear OOA(2220, 1198380, F2, 7, 15) (dual of [(1198380, 7), 8388440, 16]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(262, 1048574, F2, 7, 7) (dual of [(1048574, 7), 7339956, 8]-NRT-code), using
  2. linear OOA(2158, 599190, F2, 7, 15) (dual of [(599190, 7), 4194172, 16]-NRT-code), using
    • OOA 7-folding [i] based on linear OA(2158, 4194330, F2, 15) (dual of [4194330, 4194172, 16]-code), using
      • 2 times code embedding in larger space [i] based on linear OA(2156, 4194328, F2, 15) (dual of [4194328, 4194172, 16]-code), using
        • construction X4 applied to Ce(14) ⊂ Ce(12) [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(2133, 4194304, F2, 13) (dual of [4194304, 4194171, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 222−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
          3. linear OA(223, 24, F2, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,2)), using
          4. linear OA(21, 24, F2, 1) (dual of [24, 23, 2]-code), 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.