Information on Result #726558
Linear OA(2791, 771, F27, 40) (dual of [771, 680, 41]-code), using construction XX applied to C1 = C([721,27]), C2 = C([4,32]), C3 = C1 + C2 = C([4,27]), and C∩ = C1 ∩ C2 = C([721,32]) based on
- linear OA(2767, 728, F27, 35) (dual of [728, 661, 36]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,27}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2757, 728, F27, 29) (dual of [728, 671, 30]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {4,5,…,32}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2776, 728, F27, 40) (dual of [728, 652, 41]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,32}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2748, 728, F27, 24) (dual of [728, 680, 25]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {4,5,…,27}, and designed minimum distance d ≥ |I|+1 = 25 [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.