Information on Result #1016052
Linear OOA(996, 5598882, F9, 3, 11) (dual of [(5598882, 3), 16796550, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(914, 6480, F9, 3, 5) (dual of [(6480, 3), 19426, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(914, 12961, F9, 5) (dual of [12961, 12947, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(914, 12961, F9, 5) (dual of [12961, 12947, 6]-code), using
- linear OOA(982, 5592402, F9, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-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(996, 2799440, F9, 15, 11) (dual of [(2799440, 15), 41991504, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |