Information on Result #698681
Linear OA(6482, 4138, F64, 35) (dual of [4138, 4056, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,10]) based on
- linear OA(6469, 4097, F64, 35) (dual of [4097, 4028, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(6441, 4097, F64, 21) (dual of [4097, 4056, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(6413, 41, F64, 13) (dual of [41, 28, 14]-code or 41-arc in PG(12,64)), using
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- Reed–Solomon code RS(51,64) [i]
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), 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(3299, 4138, S32, 35) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6482, 2069, F64, 2, 35) (dual of [(2069, 2), 4056, 36]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6482, 1379, F64, 3, 35) (dual of [(1379, 3), 4055, 36]-NRT-code) | [i] | ||