Information on Result #725409
Linear OA(27108, 186, F27, 67) (dual of [186, 78, 68]-code), using construction XX applied to C1 = C([181,64]), C2 = C([0,65]), C3 = C1 + C2 = C([0,64]), and C∩ = C1 ∩ C2 = C([181,65]) based on
- linear OA(27106, 182, F27, 66) (dual of [182, 76, 67]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,64}, and designed minimum distance d ≥ |I|+1 = 67 [i]
- linear OA(27106, 182, F27, 66) (dual of [182, 76, 67]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,65], and designed minimum distance d ≥ |I|+1 = 67 [i]
- linear OA(27108, 182, F27, 67) (dual of [182, 74, 68]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−1,0,…,65}, and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(27104, 182, F27, 65) (dual of [182, 78, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,64], and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(27108, 93, F27, 2, 67) (dual of [(93, 2), 78, 68]-NRT-code) | [i] | OOA Folding | |