Information on Result #666913
Linear OA(2762, 19740, F27, 17) (dual of [19740, 19678, 18]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(275, 28, F27, 5) (dual of [28, 23, 6]-code or 28-arc in PG(4,27)), using
- extended Reed–Solomon code RSe(23,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- 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(2749, 19684, F27, 17) (dual of [19684, 19635, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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.