Information on Result #1821998
OA(2796, 19764, S27, 27), using (u, u+v)-construction based on
- OA(2718, 82, S27, 13), using
- discarding parts of the base [i] based on linear OA(8113, 82, F81, 13) (dual of [82, 69, 14]-code or 82-arc in PG(12,81)), using
- extended Reed–Solomon code RSe(69,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding parts of the base [i] based on linear OA(8113, 82, F81, 13) (dual of [82, 69, 14]-code or 82-arc in PG(12,81)), using
- linear OA(2778, 19682, F27, 27) (dual of [19682, 19604, 28]-code), using
- 1 times truncation [i] based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- 1 times truncation [i] based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
Mode: Constructive.
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.