Information on Result #904333
Linear OOA(8149, 4197542, F81, 2, 11) (dual of [(4197542, 2), 8395035, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(818, 3241, F81, 2, 5) (dual of [(3241, 2), 6474, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(818, 6482, F81, 5) (dual of [6482, 6474, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- OOA 2-folding [i] based on linear OA(818, 6482, F81, 5) (dual of [6482, 6474, 6]-code), using
- linear OOA(8141, 4194301, F81, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8141, 8388602, F81, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- OOA 2-folding [i] based on linear OA(8141, 8388602, F81, 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 | Linear OOA(8149, 2098771, F81, 4, 11) (dual of [(2098771, 4), 8395035, 12]-NRT-code) | [i] | OOA Folding | |