Information on Result #1009532

Linear OOA(2250, 2796546, F2, 3, 19) (dual of [(2796546, 3), 8389388, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(242, 345, F2, 3, 9) (dual of [(345, 3), 993, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(242, 1035, F2, 9) (dual of [1035, 993, 10]-code), using
      • construction X applied to Ce(8) ⊂ Ce(6) [i] based on
        1. linear OA(241, 1024, F2, 9) (dual of [1024, 983, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
        2. linear OA(231, 1024, F2, 7) (dual of [1024, 993, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
        3. linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
  2. linear OOA(2208, 2796201, F2, 3, 19) (dual of [(2796201, 3), 8388395, 20]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2208, large, F2, 19) (dual of [large, large−208, 20]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2250, 932181, F2, 21, 19) (dual of [(932181, 21), 19575551, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row