Information on Result #866680
Linear OOA(2781, 388, F27, 2, 34) (dual of [(388, 2), 695, 35]-NRT-code), using OOA 2-folding based on linear OA(2781, 776, F27, 34) (dual of [776, 695, 35]-code), using
- construction XX applied to C1 = C([8,33]), C2 = C([0,22]), C3 = C1 + C2 = C([8,22]), and C∩ = C1 ∩ C2 = C([0,33]) [i] based on
- linear OA(2751, 728, F27, 26) (dual of [728, 677, 27]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,33}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2745, 728, F27, 23) (dual of [728, 683, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2764, 728, F27, 34) (dual of [728, 664, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2730, 728, F27, 15) (dual of [728, 698, 16]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,22}, and designed minimum distance d ≥ |I|+1 = 16 [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(277, 20, F27, 7) (dual of [20, 13, 8]-code or 20-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.