Information on Result #876381
Linear OOA(8141, 4194301, F81, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using OOA 2-folding 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]
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(8143, 4194302, F81, 2, 11) (dual of [(4194302, 2), 8388561, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8145, 4194303, F81, 2, 11) (dual of [(4194303, 2), 8388561, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(8142, 4194301, F81, 2, 11) (dual of [(4194301, 2), 8388560, 12]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(982, 8388602, F9, 2, 11) (dual of [(8388602, 2), 16777122, 12]-NRT-code) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(8146, 4194383, F81, 2, 11) (dual of [(4194383, 2), 8388720, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8147, 4194401, F81, 2, 11) (dual of [(4194401, 2), 8388755, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(8148, 4197541, F81, 2, 11) (dual of [(4197541, 2), 8395034, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(8149, 4197542, F81, 2, 11) (dual of [(4197542, 2), 8395035, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(8150, 4197623, F81, 2, 11) (dual of [(4197623, 2), 8395196, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(8151, 4200782, F81, 2, 11) (dual of [(4200782, 2), 8401513, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(8152, 4204022, F81, 2, 11) (dual of [(4204022, 2), 8407992, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(8153, 4207263, F81, 2, 11) (dual of [(4207263, 2), 8414473, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(8154, 4460023, F81, 2, 11) (dual of [(4460023, 2), 8919992, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(8155, 4460026, F81, 2, 11) (dual of [(4460026, 2), 8919997, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(8156, 4460105, F81, 2, 11) (dual of [(4460105, 2), 8920154, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(8157, 4466666, F81, 2, 11) (dual of [(4466666, 2), 8933275, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(8158, 8388602, F81, 2, 11) (dual of [(8388602, 2), 16777146, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(8151, 4200943, F81, 2, 11) (dual of [(4200943, 2), 8401835, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(8156, 4463383, F81, 2, 11) (dual of [(4463383, 2), 8926710, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(8157, 4732303, F81, 2, 11) (dual of [(4732303, 2), 9464549, 12]-NRT-code) | [i] | ||