Information on Result #725331
Linear OA(27106, 202, F27, 60) (dual of [202, 96, 61]-code), using construction XX applied to C1 = C([174,50]), C2 = C([0,51]), C3 = C1 + C2 = C([0,50]), and C∩ = C1 ∩ C2 = C([174,51]) based on
- linear OA(2797, 182, F27, 59) (dual of [182, 85, 60]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−8,−7,…,50}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(2788, 182, F27, 52) (dual of [182, 94, 53]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2799, 182, F27, 60) (dual of [182, 83, 61]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {−8,−7,…,51}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(2786, 182, F27, 51) (dual of [182, 96, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,50], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(277, 18, F27, 7) (dual of [18, 11, 8]-code or 18-arc in PG(6,27)), using
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- Reed–Solomon code RS(20,27) [i]
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- 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
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(27106, 101, F27, 2, 60) (dual of [(101, 2), 96, 61]-NRT-code) | [i] | OOA Folding | |