Information on Result #666635
Linear OA(2750, 531454, F27, 11) (dual of [531454, 531404, 12]-code), using generalized (u, u+v)-construction based on
- linear OA(272, 4, F27, 2) (dual of [4, 2, 3]-code or 4-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(273, 4, F27, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,27) or 4-cap in PG(2,27)), using
- dual of repetition code with length 4 [i]
- linear OA(274, 4, F27, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,27)), using
- linear OA(2741, 531442, F27, 11) (dual of [531442, 531401, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
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.