Information on Result #666631
Linear OA(2770, 531457, F27, 15) (dual of [531457, 531387, 16]-code), using generalized (u, u+v)-construction based on
- linear OA(273, 5, F27, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,27) or 5-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- linear OA(275, 5, F27, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,27)), using
- linear OA(275, 5, F27, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,27)) (see above)
- linear OA(2757, 531442, F27, 15) (dual of [531442, 531385, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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.