Information on Result #663532
Linear OA(8128, 2097172, F8, 19) (dual of [2097172, 2097044, 20]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(86, 9, F8, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,8)), using
- extended Reed–Solomon code RSe(3,8) [i]
- linear OA(89, 10, F8, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,8)), using
- dual of repetition code with length 10 [i]
- linear OA(8113, 2097153, F8, 19) (dual of [2097153, 2097040, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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.