Information on Result #900993

Linear OOA(2759, 394, F27, 2, 24) (dual of [(394, 2), 729, 25]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(2712, 28, F27, 2, 12) (dual of [(28, 2), 44, 13]-NRT-code), using
  2. linear OOA(2747, 366, F27, 2, 24) (dual of [(366, 2), 685, 25]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(2747, 732, F27, 24) (dual of [732, 685, 25]-code), using
      • construction XX applied to C1 = C([727,21]), C2 = C([0,22]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([727,22]) [i] based on
        1. linear OA(2745, 728, F27, 23) (dual of [728, 683, 24]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,21}, and designed minimum distance d ≥ |I|+1 = 24 [i]
        2. linear OA(2745, 728, F27, 23) (dual of [728, 683, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
        3. linear OA(2747, 728, F27, 24) (dual of [728, 681, 25]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,22}, and designed minimum distance d ≥ |I|+1 = 25 [i]
        4. linear OA(2743, 728, F27, 22) (dual of [728, 685, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [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.