Information on Result #1009525

Linear OOA(2241, 2796286, F2, 3, 19) (dual of [(2796286, 3), 8388617, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(233, 85, F2, 3, 9) (dual of [(85, 3), 222, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(233, 255, F2, 9) (dual of [255, 222, 10]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
  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(2241, 932095, F2, 21, 19) (dual of [(932095, 21), 19573754, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row