Information on Result #903626
Linear OOA(6449, 4196318, F64, 2, 11) (dual of [(4196318, 2), 8392587, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(648, 2017, F64, 2, 5) (dual of [(2017, 2), 4026, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(648, 4034, F64, 5) (dual of [4034, 4026, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- OOA 2-folding [i] based on linear OA(648, 4034, F64, 5) (dual of [4034, 4026, 6]-code), using
- linear OOA(6441, 4194301, F64, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6441, 8388602, F64, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- OOA 2-folding [i] based on linear OA(6441, 8388602, F64, 11) (dual of [8388602, 8388561, 12]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(3259, 4196318, S32, 2, 11) | [i] | Discarding Parts of the Base for OOAs | |