Information on Result #895482
Linear OOA(4108, 4194382, F4, 2, 11) (dual of [(4194382, 2), 8388656, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(411, 81, F4, 2, 5) (dual of [(81, 2), 151, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 81)-net over F4, using
- linear OOA(497, 4194301, F4, 2, 11) (dual of [(4194301, 2), 8388505, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(497, 8388602, F4, 11) (dual of [8388602, 8388505, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, 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(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- OOA 2-folding [i] based on linear OA(497, 8388602, F4, 11) (dual of [8388602, 8388505, 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 | Linear OOA(4109, 4194382, F4, 2, 11) (dual of [(4194382, 2), 8388655, 12]-NRT-code) | [i] | OOA Duplication | |