Information on Result #670148
Linear OA(8179, 531624, F81, 21) (dual of [531624, 531545, 22]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(817, 82, F81, 7) (dual of [82, 75, 8]-code or 82-arc in PG(6,81)), using
- extended Reed–Solomon code RSe(75,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(8111, 100, F81, 10) (dual of [100, 89, 11]-code), using
- extended algebraic-geometric code AGe(F,89P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(8161, 531442, F81, 21) (dual of [531442, 531381, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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.