Information on Result #900819

Linear OOA(2746, 394, F27, 2, 19) (dual of [(394, 2), 742, 20]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(279, 28, F27, 2, 9) (dual of [(28, 2), 47, 10]-NRT-code), using
  2. linear OOA(2737, 366, F27, 2, 19) (dual of [(366, 2), 695, 20]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(2737, 732, F27, 19) (dual of [732, 695, 20]-code), using
      • construction XX applied to C1 = C([727,16]), C2 = C([0,17]), C3 = C1 + C2 = C([0,16]), and C∩ = C1 ∩ C2 = C([727,17]) [i] based on
        1. linear OA(2735, 728, F27, 18) (dual of [728, 693, 19]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
        2. linear OA(2735, 728, F27, 18) (dual of [728, 693, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
        3. linear OA(2737, 728, F27, 19) (dual of [728, 691, 20]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,17}, and designed minimum distance d ≥ |I|+1 = 20 [i]
        4. linear OA(2733, 728, F27, 17) (dual of [728, 695, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.