Information on Result #867318
Linear OOA(2777, 94, F27, 2, 44) (dual of [(94, 2), 111, 45]-NRT-code), using OOA 2-folding based on linear OA(2777, 188, F27, 44) (dual of [188, 111, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(2777, 189, F27, 44) (dual of [189, 112, 45]-code), using
- construction XX applied to C1 = C([0,42]), C2 = C([3,43]), C3 = C1 + C2 = C([3,42]), and C∩ = C1 ∩ C2 = C([0,43]) [i] based on
- linear OA(2773, 182, F27, 43) (dual of [182, 109, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,42], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2772, 182, F27, 41) (dual of [182, 110, 42]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {3,4,…,43}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2775, 182, F27, 44) (dual of [182, 107, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2770, 182, F27, 40) (dual of [182, 112, 41]-code), using the BCH-code C(I) with length 182 | 272−1, defining interval I = {3,4,…,42}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(272, 5, F27, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([0,42]), C2 = C([3,43]), C3 = C1 + C2 = C([3,42]), and C∩ = C1 ∩ C2 = C([0,43]) [i] based on
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.