Information on Result #670774
Linear OA(12873, 2097170, F128, 20) (dual of [2097170, 2097097, 21]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1286, 9, F128, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,128)), using
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- Reed–Solomon code RS(122,128) [i]
- discarding factors / shortening the dual code based on linear OA(1286, 128, F128, 6) (dual of [128, 122, 7]-code or 128-arc in PG(5,128)), using
- linear OA(1289, 9, F128, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,128)), using
- linear OA(12858, 2097152, F128, 20) (dual of [2097152, 2097094, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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.