Information on Result #666798
Linear OA(2797, 19739, F27, 26) (dual of [19739, 19642, 27]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(278, 28, F27, 8) (dual of [28, 20, 9]-code or 28-arc in PG(7,27)), using
- extended Reed–Solomon code RSe(20,27) [i]
- linear OA(2713, 28, F27, 13) (dual of [28, 15, 14]-code or 28-arc in PG(12,27)), using
- extended Reed–Solomon code RSe(15,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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.