Information on Result #698598
Linear OA(6458, 4102, F64, 29) (dual of [4102, 4044, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,13]) based on
- linear OA(6457, 4097, F64, 29) (dual of [4097, 4040, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(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 | Linear OA(8116, 8204, F8, 29) (dual of [8204, 8088, 30]-code) | [i] | Trace Code | |
| 2 | OA(3270, 4102, S32, 29) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6473, 4182, F64, 29) (dual of [4182, 4109, 30]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6475, 4206, F64, 29) (dual of [4206, 4131, 30]-code) | [i] | ||
| 5 | Linear OA(6477, 4230, F64, 29) (dual of [4230, 4153, 30]-code) | [i] | ||
| 6 | Linear OA(6479, 4279, F64, 29) (dual of [4279, 4200, 30]-code) | [i] | ||
| 7 | Linear OA(6481, 4299, F64, 29) (dual of [4299, 4218, 30]-code) | [i] | ||
| 8 | Linear OOA(6458, 2051, F64, 2, 29) (dual of [(2051, 2), 4044, 30]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(6458, 1367, F64, 3, 29) (dual of [(1367, 3), 4043, 30]-NRT-code) | [i] | ||