Information on Result #666561
Linear OA(27101, 762, F27, 37) (dual of [762, 661, 38]-code), using generalized (u, u+v)-construction based on
- linear OA(279, 11, F27, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,27)), using
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- Reed–Solomon code RS(18,27) [i]
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- linear OA(2711, 11, F27, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,27)), using
- linear OA(2711, 11, F27, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,27)) (see above)
- linear OA(2770, 729, F27, 37) (dual of [729, 659, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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.