Information on Result #666573
Linear OA(2795, 765, F27, 34) (dual of [765, 670, 35]-code), using generalized (u, u+v)-construction based on
- linear OA(278, 12, F27, 8) (dual of [12, 4, 9]-code or 12-arc in PG(7,27)), using
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- Reed–Solomon code RS(19,27) [i]
- discarding factors / shortening the dual code based on linear OA(278, 27, F27, 8) (dual of [27, 19, 9]-code or 27-arc in PG(7,27)), using
- linear OA(2711, 12, F27, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,27)), using
- dual of repetition code with length 12 [i]
- linear OA(2712, 12, F27, 12) (dual of [12, 0, 13]-code or 12-arc in PG(11,27)), using
- linear OA(2764, 729, F27, 34) (dual of [729, 665, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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.