Information on Result #670761
Linear OA(12877, 2097171, F128, 21) (dual of [2097171, 2097094, 22]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1287, 9, F128, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,128)), using
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- Reed–Solomon code RS(121,128) [i]
- discarding factors / shortening the dual code based on linear OA(1287, 128, F128, 7) (dual of [128, 121, 8]-code or 128-arc in PG(6,128)), using
- linear OA(1289, 9, F128, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,128)), using
- linear OA(12861, 2097153, F128, 21) (dual of [2097153, 2097092, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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.