Information on Result #726190
Linear OA(2779, 771, F27, 34) (dual of [771, 692, 35]-code), using construction XX applied to C1 = C([727,27]), C2 = C([10,32]), C3 = C1 + C2 = C([10,27]), and C∩ = C1 ∩ C2 = C([727,32]) based on
- linear OA(2755, 728, F27, 29) (dual of [728, 673, 30]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,27}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2745, 728, F27, 23) (dual of [728, 683, 24]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {10,11,…,32}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2764, 728, F27, 34) (dual of [728, 664, 35]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,32}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2736, 728, F27, 18) (dual of [728, 692, 19]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {10,11,…,27}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2711, 30, F27, 10) (dual of [30, 19, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2711, 38, F27, 10) (dual of [38, 27, 11]-code), using
- extended algebraic-geometric code AGe(F,27P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2711, 38, F27, 10) (dual of [38, 27, 11]-code), using
- 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.