Information on Result #670138
Linear OA(8162, 6743, F81, 22) (dual of [6743, 6681, 23]-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(8112, 100, F81, 11) (dual of [100, 88, 12]-code), using
- extended algebraic-geometric code AGe(F,88P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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.