Information on Result #663423
Linear OA(728, 235308, F7, 5) (dual of [235308, 235280, 6]-code), using (u, u+v)-construction based on
- linear OA(72, 8, F7, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,7)), using
- extended Reed–Solomon code RSe(6,7) [i]
- Hamming code H(2,7) [i]
- algebraic-geometric code AG(F, Q+1P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F7 with g(F) = 0 and N(F) ≥ 8, using the rational function field F7(x) [i]
- linear OA(726, 235300, F7, 5) (dual of [235300, 235274, 6]-code), using
- trace code [i] based on linear OA(4913, 117650, F49, 5) (dual of [117650, 117637, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- trace code [i] based on linear OA(4913, 117650, F49, 5) (dual of [117650, 117637, 6]-code), using
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.