Information on Result #726927
Linear OA(27106, 780, F27, 46) (dual of [780, 674, 47]-code), using construction XX applied to C1 = C([718,27]), C2 = C([1,35]), C3 = C1 + C2 = C([1,27]), and C∩ = C1 ∩ C2 = C([718,35]) based on
- linear OA(2773, 728, F27, 38) (dual of [728, 655, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−10,−9,…,27}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2767, 728, F27, 35) (dual of [728, 661, 36]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,35], 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 = {−10,−9,…,35}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(2752, 728, F27, 27) (dual of [728, 676, 28]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(277, 22, F27, 7) (dual of [22, 15, 8]-code or 22-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
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.