Information on Result #666655
Linear OA(27110, 795, F27, 40) (dual of [795, 685, 41]-code), using (u, u−v, u+v+w)-construction based on
- 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(2721, 38, F27, 20) (dual of [38, 17, 21]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(2776, 729, F27, 40) (dual of [729, 653, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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.