Information on Result #866824
Linear OOA(2787, 391, F27, 2, 36) (dual of [(391, 2), 695, 37]-NRT-code), using OOA 2-folding based on linear OA(2787, 782, F27, 36) (dual of [782, 695, 37]-code), using
- construction XX applied to C1 = C([10,35]), C2 = C([0,24]), C3 = C1 + C2 = C([10,24]), and C∩ = C1 ∩ C2 = C([0,35]) [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 = {10,11,…,35}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2749, 728, F27, 25) (dual of [728, 679, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2768, 728, F27, 36) (dual of [728, 660, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [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 = {10,11,…,24}, 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(279, 26, F27, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,27)), using
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- Reed–Solomon code RS(18,27) [i]
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), 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.