Information on Result #893992
Linear OOA(7102, 8388602, F7, 2, 11) (dual of [(8388602, 2), 16777102, 12]-NRT-code), using trace code based on linear OOA(4951, 4194301, F49, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4951, 8388602, F49, 11) (dual of [8388602, 8388551, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4951, large, F49, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, 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(4951, large, F49, 11) (dual of [large, large−51, 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(7104, large, F7, 2, 11) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(7106, large, F7, 2, 11) | [i] | ||
| 3 | Linear OOA(7108, large, F7, 2, 11) | [i] | ||
| 4 | Linear OOA(7110, large, F7, 2, 11) | [i] | ||
| 5 | Linear OOA(7103, 8388602, F7, 2, 11) (dual of [(8388602, 2), 16777101, 12]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(7102, 4194301, F7, 3, 11) (dual of [(4194301, 3), 12582801, 12]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(7102, 2796200, F7, 14, 11) (dual of [(2796200, 14), 39146698, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |