Information on Result #876356
Linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using OOA 2-folding based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(8139, 4194302, F81, 2, 10) (dual of [(4194302, 2), 8388565, 11]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8141, 4194303, F81, 2, 10) (dual of [(4194303, 2), 8388565, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(8138, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388564, 11]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(974, 8388602, F9, 2, 10) (dual of [(8388602, 2), 16777130, 11]-NRT-code) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(8142, 4194383, F81, 2, 10) (dual of [(4194383, 2), 8388724, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8143, 4194401, F81, 2, 10) (dual of [(4194401, 2), 8388759, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(8144, 4197541, F81, 2, 10) (dual of [(4197541, 2), 8395038, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(8145, 4197542, F81, 2, 10) (dual of [(4197542, 2), 8395039, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(8146, 4197623, F81, 2, 10) (dual of [(4197623, 2), 8395200, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(8147, 4200782, F81, 2, 10) (dual of [(4200782, 2), 8401517, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(8148, 4204022, F81, 2, 10) (dual of [(4204022, 2), 8407996, 11]-NRT-code) | [i] | ||
| 12 | Linear OOA(8149, 4207263, F81, 2, 10) (dual of [(4207263, 2), 8414477, 11]-NRT-code) | [i] | ||
| 13 | Linear OOA(8150, 4460023, F81, 2, 10) (dual of [(4460023, 2), 8919996, 11]-NRT-code) | [i] | ||
| 14 | Linear OOA(8151, 4460026, F81, 2, 10) (dual of [(4460026, 2), 8920001, 11]-NRT-code) | [i] | ||
| 15 | Linear OOA(8152, 4460105, F81, 2, 10) (dual of [(4460105, 2), 8920158, 11]-NRT-code) | [i] | ||
| 16 | Linear OOA(8153, 4466666, F81, 2, 10) (dual of [(4466666, 2), 8933279, 11]-NRT-code) | [i] | ||
| 17 | Linear OOA(8154, 8388602, F81, 2, 10) (dual of [(8388602, 2), 16777150, 11]-NRT-code) | [i] | ||
| 18 | Linear OOA(8147, 4200943, F81, 2, 10) (dual of [(4200943, 2), 8401839, 11]-NRT-code) | [i] | ||
| 19 | Linear OOA(8152, 4463383, F81, 2, 10) (dual of [(4463383, 2), 8926714, 11]-NRT-code) | [i] | ||
| 20 | Linear OOA(8153, 4732303, F81, 2, 10) (dual of [(4732303, 2), 9464553, 11]-NRT-code) | [i] | ||