Information on Result #666521
Linear OA(27110, 769, F27, 39) (dual of [769, 659, 40]-code), using generalized (u, u+v)-construction based on
- linear OA(277, 10, F27, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,27)), using
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- Reed–Solomon code RS(20,27) [i]
- discarding factors / shortening the dual code based on linear OA(277, 27, F27, 7) (dual of [27, 20, 8]-code or 27-arc in PG(6,27)), using
- linear OA(279, 10, F27, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,27)), using
- dual of repetition code with length 10 [i]
- linear OA(2710, 10, F27, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,27)), using
- linear OA(2710, 10, F27, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,27)) (see above)
- linear OA(2774, 729, F27, 39) (dual of [729, 655, 40]-code), using
- an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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.