Information on Result #671310
Linear OA(12861, 2097281, F128, 18) (dual of [2097281, 2097220, 19]-code), using (u, u+v)-construction based on
- linear OA(1289, 129, F128, 9) (dual of [129, 120, 10]-code or 129-arc in PG(8,128)), using
- extended Reed–Solomon code RSe(120,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.