Information on Result #666719
Linear OA(2790, 795, F27, 33) (dual of [795, 705, 34]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2711, 28, F27, 11) (dual of [28, 17, 12]-code or 28-arc in PG(10,27)), using
- extended Reed–Solomon code RSe(17,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2717, 38, F27, 16) (dual of [38, 21, 17]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(2762, 729, F27, 33) (dual of [729, 667, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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.