Information on Result #666959
Linear OA(2740, 19750, F27, 11) (dual of [19750, 19710, 12]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(273, 28, F27, 3) (dual of [28, 25, 4]-code or 28-arc in PG(2,27) or 28-cap in PG(2,27)), using
- extended Reed–Solomon code RSe(25,27) [i]
- oval in PG(2, 27) [i]
- linear OA(276, 38, F27, 5) (dual of [38, 32, 6]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(2731, 19684, F27, 11) (dual of [19684, 19653, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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.