Information on Result #726934
Linear OA(27107, 784, F27, 46) (dual of [784, 677, 47]-code), using construction XX applied to C1 = C([720,27]), C2 = C([3,37]), C3 = C1 + C2 = C([3,27]), and C∩ = C1 ∩ C2 = C([720,37]) based on
- linear OA(2769, 728, F27, 36) (dual of [728, 659, 37]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−8,−7,…,27}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2769, 728, F27, 35) (dual of [728, 659, 36]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,37}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2788, 728, F27, 46) (dual of [728, 640, 47]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−8,−7,…,37}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(2750, 728, F27, 25) (dual of [728, 678, 26]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,27}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2710, 28, F27, 10) (dual of [28, 18, 11]-code or 28-arc in PG(9,27)), using
- extended Reed–Solomon code RSe(18,27) [i]
- linear OA(279, 28, F27, 9) (dual of [28, 19, 10]-code or 28-arc in PG(8,27)), using
- extended Reed–Solomon code RSe(19,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
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(27107, 392, F27, 2, 46) (dual of [(392, 2), 677, 47]-NRT-code) | [i] | OOA Folding | |