Information on Result #670627
Linear OA(12876, 2097173, F128, 20) (dual of [2097173, 2097097, 21]-code), using generalized (u, u+v)-construction based on
- linear OA(1285, 7, F128, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- linear OA(1286, 7, F128, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,128)), using
- dual of repetition code with length 7 [i]
- linear OA(1287, 7, F128, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,128)), 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.