Information on Result #725083

Linear OA(2721, 108, F27, 12) (dual of [108, 87, 13]-code), using construction XX applied to C1 = C([103,9]), C2 = C([0,10]), C3 = C1 + C2 = C([0,9]), and C∩ = C1 ∩ C2 = C([103,10]) based on
  1. linear OA(2719, 104, F27, 11) (dual of [104, 85, 12]-code), using the BCH-code C(I) with length 104 | 272−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(2719, 104, F27, 11) (dual of [104, 85, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(2721, 104, F27, 12) (dual of [104, 83, 13]-code), using the BCH-code C(I) with length 104 | 272−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  4. linear OA(2717, 104, F27, 10) (dual of [104, 87, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2770, 840, F27, 25) (dual of [840, 770, 26]-code) [i](u, u+v)-Construction
2Linear OA(2794, 19794, F27, 25) (dual of [19794, 19700, 26]-code) [i]
3Linear OA(2768, 840, F27, 24) (dual of [840, 772, 25]-code) [i]
4Linear OA(2791, 19794, F27, 24) (dual of [19794, 19703, 25]-code) [i]
5Linear OOA(2721, 54, F27, 2, 12) (dual of [(54, 2), 87, 13]-NRT-code) [i]OOA Folding