Information on Result #1009561

Linear OOA(2242, 2796206, F2, 3, 21) (dual of [(2796206, 3), 8388376, 22]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
  2. linear OOA(2231, 2796201, F2, 3, 21) (dual of [(2796201, 3), 8388372, 22]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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(2242, 1398103, F2, 6, 21) (dual of [(1398103, 6), 8388376, 22]-NRT-code) [i]OOA Folding