Information on Result #874679
Linear OOA(6458, 2051, F64, 2, 29) (dual of [(2051, 2), 4044, 30]-NRT-code), using OOA 2-folding based on linear OA(6458, 4102, F64, 29) (dual of [4102, 4044, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,13]) [i] 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 OOA(6473, 2131, F64, 2, 29) (dual of [(2131, 2), 4189, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(6475, 2155, F64, 2, 29) (dual of [(2155, 2), 4235, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(6477, 2179, F64, 2, 29) (dual of [(2179, 2), 4281, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(6479, 2228, F64, 2, 29) (dual of [(2228, 2), 4377, 30]-NRT-code) | [i] | ||