Information on Result #698590
Linear OA(6490, 4102, F64, 45) (dual of [4102, 4012, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,21]) based on
- linear OA(6489, 4097, F64, 45) (dual of [4097, 4008, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(6485, 4097, F64, 43) (dual of [4097, 4012, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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, 4102, S32, 45) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6490, 2051, F64, 2, 45) (dual of [(2051, 2), 4012, 46]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6490, 1367, F64, 3, 45) (dual of [(1367, 3), 4011, 46]-NRT-code) | [i] | ||