Information on Result #698675
Linear OA(6472, 4132, F64, 31) (dual of [4132, 4060, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,9]) based on
- linear OA(6461, 4097, F64, 31) (dual of [4097, 4036, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3287, 4132, S32, 31) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6472, 2066, F64, 2, 31) (dual of [(2066, 2), 4060, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6472, 1377, F64, 3, 31) (dual of [(1377, 3), 4059, 32]-NRT-code) | [i] | ||