Information on Result #667768
Linear OA(3290, 1048597, F32, 19) (dual of [1048597, 1048507, 20]-code), using generalized (u, u+v)-construction based on
- linear OA(323, 5, F32, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,32) or 5-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- linear OA(324, 5, F32, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,32)), using
- dual of repetition code with length 5 [i]
- linear OA(325, 5, F32, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,32)), using
- linear OA(325, 5, F32, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,32)) (see above)
- linear OA(3273, 1048577, F32, 19) (dual of [1048577, 1048504, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, 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.