Information on Result #698679
Linear OA(6490, 4138, F64, 39) (dual of [4138, 4048, 40]-code), using construction X applied to C([0,19]) ⊂ C([0,12]) based on
- linear OA(6477, 4097, F64, 39) (dual of [4097, 4020, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(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(32108, 4138, S32, 39) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6490, 2069, F64, 2, 39) (dual of [(2069, 2), 4048, 40]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6490, 1379, F64, 3, 39) (dual of [(1379, 3), 4047, 40]-NRT-code) | [i] | ||