Information on Result #1548271
Linear OOA(586, 4194307, F5, 3, 11) (dual of [(4194307, 3), 12582835, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(586, 4194307, F5, 2, 11) (dual of [(4194307, 2), 8388528, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(55, 6, F5, 2, 5) (dual of [(6, 2), 7, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;7,5) [i]
- linear OOA(581, 4194301, F5, 2, 11) (dual of [(4194301, 2), 8388521, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(581, 8388602, F5, 11) (dual of [8388602, 8388521, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, 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(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- OOA 2-folding [i] based on linear OA(581, 8388602, F5, 11) (dual of [8388602, 8388521, 12]-code), using
- linear OOA(55, 6, F5, 2, 5) (dual of [(6, 2), 7, 6]-NRT-code), using
Mode: 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(586, 2097153, F5, 15, 11) (dual of [(2097153, 15), 31457209, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |