Information on Result #725123

Linear OA(2720, 186, F27, 11) (dual of [186, 166, 12]-code), using construction XX applied to C1 = C([181,8]), C2 = C([0,9]), C3 = C1 + C2 = C([0,8]), and C∩ = C1 ∩ C2 = C([181,9]) based on
  1. linear OA(2718, 182, F27, 10) (dual of [182, 164, 11]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,8}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(2718, 182, F27, 10) (dual of [182, 164, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(2720, 182, F27, 11) (dual of [182, 162, 12]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  4. linear OA(2716, 182, F27, 9) (dual of [182, 166, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [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(2765, 918, F27, 23) (dual of [918, 853, 24]-code) [i](u, u+v)-Construction
2Linear OA(2787, 19872, F27, 23) (dual of [19872, 19785, 24]-code) [i]
3Linear OA(27109, 531631, F27, 23) (dual of [531631, 531522, 24]-code) [i]
4Linear OA(2784, 19872, F27, 22) (dual of [19872, 19788, 23]-code) [i]
5Linear OA(27105, 531631, F27, 22) (dual of [531631, 531526, 23]-code) [i]
6Linear OOA(2720, 93, F27, 2, 11) (dual of [(93, 2), 166, 12]-NRT-code) [i]OOA Folding