Information on Result #1009502

Linear OOA(2260, 2798932, F2, 3, 18) (dual of [(2798932, 3), 8396536, 19]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(253, 2731, F2, 3, 9) (dual of [(2731, 3), 8140, 10]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(253, 8193, F2, 9) (dual of [8193, 8140, 10]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OOA(2207, 2796201, F2, 3, 18) (dual of [(2796201, 3), 8388396, 19]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
      • the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(2260, 1399466, F2, 6, 18) (dual of [(1399466, 6), 8396536, 19]-NRT-code) [i]OOA Folding
2Linear OOA(2260, 932977, F2, 21, 18) (dual of [(932977, 21), 19592257, 19]-NRT-code) [i]OOA Folding and Stacking with Additional Row