Information on Result #698672
Linear OA(6484, 4132, F64, 37) (dual of [4132, 4048, 38]-code), using construction X applied to C([0,18]) ⊂ C([0,12]) based on
- linear OA(6473, 4097, F64, 37) (dual of [4097, 4024, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(6449, 4097, F64, 25) (dual of [4097, 4048, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(6411, 35, F64, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,64)), using
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), using
- Reed–Solomon code RS(53,64) [i]
- discarding factors / shortening the dual code based on linear OA(6411, 64, F64, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), using
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(32101, 4132, S32, 37) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6484, 2066, F64, 2, 37) (dual of [(2066, 2), 4048, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6484, 1377, F64, 3, 37) (dual of [(1377, 3), 4047, 38]-NRT-code) | [i] | ||