Information on Result #1175868

Linear OOA(2246, 1048707, F2, 8, 18) (dual of [(1048707, 8), 8389410, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(239, 132, F2, 8, 9) (dual of [(132, 8), 1017, 10]-NRT-code), using
    • OOA 4-folding and stacking with additional row [i] based on linear OA(239, 529, F2, 9) (dual of [529, 490, 10]-code), using
      • discarding factors / shortening the dual code based on linear OA(239, 531, F2, 9) (dual of [531, 492, 10]-code), using
        • construction XX applied to C1 = C([509,4]), C2 = C([0,6]), C3 = C1 + C2 = C([0,4]), and C∩ = C1 ∩ C2 = C([509,6]) [i] based on
          1. linear OA(228, 511, F2, 7) (dual of [511, 483, 8]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,4}, and designed minimum distance d ≥ |I|+1 = 8 [i]
          2. linear OA(228, 511, F2, 7) (dual of [511, 483, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
          3. linear OA(237, 511, F2, 9) (dual of [511, 474, 10]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,6}, and designed minimum distance d ≥ |I|+1 = 10 [i]
          4. linear OA(219, 511, F2, 5) (dual of [511, 492, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
          5. linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using
          6. linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code) (see above)
  2. linear OOA(2207, 1048575, F2, 8, 18) (dual of [(1048575, 8), 8388393, 19]-NRT-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.