Information on Result #667867
Linear OA(3240, 32781, F32, 11) (dual of [32781, 32741, 12]-code), using generalized (u, u+v)-construction based on
- linear OA(322, 4, F32, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- linear OA(323, 4, F32, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,32) or 4-cap in PG(2,32)), using
- dual of repetition code with length 4 [i]
- linear OA(324, 4, F32, 4) (dual of [4, 0, 5]-code or 4-arc in PG(3,32)), using
- linear OA(3231, 32769, F32, 11) (dual of [32769, 32738, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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.