Information on Result #684442
Linear OA(799, 5764810, F7, 14) (dual of [5764810, 5764711, 15]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
- linear OA(797, 5764802, F7, 15) (dual of [5764802, 5764705, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 716−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(781, 5764802, F7, 11) (dual of [5764802, 5764721, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 5764802 | 716−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 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]
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.