Information on Result #669583
Linear OA(6456, 262290, F64, 15) (dual of [262290, 262234, 16]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- extended Reed–Solomon code RSe(60,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(648, 80, F64, 7) (dual of [80, 72, 8]-code), using
- extended algebraic-geometric code AGe(F,72P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6443, 262145, F64, 15) (dual of [262145, 262102, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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.