Information on Result #900758

Linear OOA(2796, 4194667, F27, 2, 17) (dual of [(4194667, 2), 8389238, 18]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2715, 366, F27, 2, 8) (dual of [(366, 2), 717, 9]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(2715, 732, F27, 8) (dual of [732, 717, 9]-code), using
      • construction XX applied to C1 = C([727,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([727,6]) [i] based on
        1. linear OA(2713, 728, F27, 7) (dual of [728, 715, 8]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
        2. linear OA(2713, 728, F27, 7) (dual of [728, 715, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
        3. linear OA(2715, 728, F27, 8) (dual of [728, 713, 9]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
        4. linear OA(2711, 728, F27, 6) (dual of [728, 717, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
        5. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
        6. linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)
  2. linear OOA(2781, 4194301, F27, 2, 17) (dual of [(4194301, 2), 8388521, 18]-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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2796, 1048666, F27, 18, 17) (dual of [(1048666, 18), 18875892, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row