Information on Result #1115660

Linear OOA(2197, 1677732, F2, 5, 13) (dual of [(1677732, 5), 8388463, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(261, 1048573, F2, 5, 6) (dual of [(1048573, 5), 5242804, 7]-NRT-code), using
  2. linear OOA(2136, 838866, F2, 5, 13) (dual of [(838866, 5), 4194194, 14]-NRT-code), using
    • OOA 5-folding [i] based on linear OA(2136, 4194330, F2, 13) (dual of [4194330, 4194194, 14]-code), using
      • 2 times code embedding in larger space [i] based on linear OA(2134, 4194328, F2, 13) (dual of [4194328, 4194194, 14]-code), using
        • construction X4 applied to Ce(12) ⊂ Ce(10) [i] based on
          1. 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]
          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(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.