Information on Result #698644
Linear OA(6430, 4114, F64, 13) (dual of [4114, 4084, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,3]) based on
- linear OA(6425, 4097, F64, 13) (dual of [4097, 4072, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(6413, 4097, F64, 7) (dual of [4097, 4084, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(645, 17, F64, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), 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(3236, 4114, S32, 13) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6430, 2057, F64, 2, 13) (dual of [(2057, 2), 4084, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6430, 1371, F64, 3, 13) (dual of [(1371, 3), 4083, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(6430, 685, F64, 13, 13) (dual of [(685, 13), 8875, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |