Information on Result #667761
Linear OA(32104, 32797, F32, 27) (dual of [32797, 32693, 28]-code), using generalized (u, u+v)-construction based on
- linear OA(325, 7, F32, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- linear OA(326, 7, F32, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,32)), using
- dual of repetition code with length 7 [i]
- linear OA(327, 7, F32, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,32)), using
- linear OA(327, 7, F32, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,32)) (see above)
- linear OA(3279, 32769, F32, 27) (dual of [32769, 32690, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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.