Information on Result #726715
Linear OA(27100, 778, F27, 43) (dual of [778, 678, 44]-code), using construction XX applied to C1 = C([721,27]), C2 = C([5,35]), C3 = C1 + C2 = C([5,27]), and C∩ = C1 ∩ C2 = C([721,35]) 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(2761, 728, F27, 31) (dual of [728, 667, 32]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {5,6,…,35}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(2782, 728, F27, 43) (dual of [728, 646, 44]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,35}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2746, 728, F27, 23) (dual of [728, 682, 24]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {5,6,…,27}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2711, 28, F27, 11) (dual of [28, 17, 12]-code or 28-arc in PG(10,27)), using
- extended Reed–Solomon code RSe(17,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 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.