Information on Result #726306
Linear OA(2782, 769, F27, 36) (dual of [769, 687, 37]-code), using construction XX applied to C1 = C([725,27]), C2 = C([8,32]), C3 = C1 + C2 = C([8,27]), and C∩ = C1 ∩ C2 = C([725,32]) based on
- linear OA(2759, 728, F27, 31) (dual of [728, 669, 32]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,27}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2749, 728, F27, 25) (dual of [728, 679, 26]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,32}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2768, 728, F27, 36) (dual of [728, 660, 37]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,32}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2740, 728, F27, 20) (dual of [728, 688, 21]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,27}, and designed minimum distance d ≥ |I|+1 = 21 [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(274, 13, F27, 4) (dual of [13, 9, 5]-code or 13-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), 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
None.