Information on Result #666949
Linear OA(2748, 19750, F27, 13) (dual of [19750, 19702, 14]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(274, 28, F27, 4) (dual of [28, 24, 5]-code or 28-arc in PG(3,27)), using
- extended Reed–Solomon code RSe(24,27) [i]
- linear OA(277, 38, F27, 6) (dual of [38, 31, 7]-code), using
- extended algebraic-geometric code AGe(F,31P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(2737, 19684, F27, 13) (dual of [19684, 19647, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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.