Information on Result #698634
Linear OA(6470, 4114, F64, 33) (dual of [4114, 4044, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
- linear OA(6465, 4097, F64, 33) (dual of [4097, 4032, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(6453, 4097, F64, 27) (dual of [4097, 4044, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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 | Linear OA(8140, 8228, F8, 33) (dual of [8228, 8088, 34]-code) | [i] | Trace Code | |
| 2 | OA(3284, 4114, S32, 33) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(6470, 2057, F64, 2, 33) (dual of [(2057, 2), 4044, 34]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(6470, 1371, F64, 3, 33) (dual of [(1371, 3), 4043, 34]-NRT-code) | [i] | ||