Information on Result #666628
Linear OA(2764, 19702, F27, 17) (dual of [19702, 19638, 18]-code), using generalized (u, u+v)-construction based on
- linear OA(274, 6, F27, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- linear OA(275, 6, F27, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,27)), using
- dual of repetition code with length 6 [i]
- linear OA(276, 6, F27, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,27)), using
- linear OA(2749, 19684, F27, 17) (dual of [19684, 19635, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.