Information on Result #894034
Linear OOA(998, 8388602, F9, 2, 13) (dual of [(8388602, 2), 16777106, 14]-NRT-code), using trace code based on linear OOA(8149, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8149, 8388602, F81, 13) (dual of [8388602, 8388553, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8149, large, F81, 13) (dual of [large, large−49, 14]-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(9100, large, F9, 2, 13) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(9102, large, F9, 2, 13) | [i] | ||
| 3 | Linear OOA(9104, large, F9, 2, 13) | [i] | ||
| 4 | Linear OOA(9106, large, F9, 2, 13) | [i] | ||
| 5 | Linear OOA(9108, large, F9, 2, 13) | [i] | ||
| 6 | Linear OOA(9110, large, F9, 2, 13) | [i] | ||
| 7 | Linear OOA(9112, large, F9, 2, 13) | [i] | ||
| 8 | Linear OOA(9114, large, F9, 2, 13) | [i] | ||
| 9 | Linear OOA(9116, large, F9, 2, 13) | [i] | ||
| 10 | Linear OOA(9118, large, F9, 2, 13) | [i] | ||
| 11 | Linear OOA(9120, large, F9, 2, 13) | [i] | ||
| 12 | Linear OOA(9122, large, F9, 2, 13) | [i] | ||
| 13 | Linear OOA(9124, large, F9, 2, 13) | [i] | ||
| 14 | Linear OOA(9126, large, F9, 2, 13) | [i] | ||
| 15 | Linear OOA(9128, large, F9, 2, 13) | [i] | ||
| 16 | Linear OOA(9130, large, F9, 2, 13) | [i] | ||
| 17 | Linear OOA(9132, large, F9, 2, 13) | [i] | ||
| 18 | Linear OOA(9134, large, F9, 2, 13) | [i] | ||
| 19 | Linear OOA(9136, large, F9, 2, 13) | [i] | ||
| 20 | Linear OOA(9138, large, F9, 2, 13) | [i] | ||
| 21 | Linear OOA(9140, large, F9, 2, 13) | [i] | ||
| 22 | Linear OOA(9142, large, F9, 2, 13) | [i] | ||
| 23 | Linear OOA(9144, large, F9, 2, 13) | [i] | ||
| 24 | Linear OOA(9146, large, F9, 2, 13) | [i] | ||
| 25 | Linear OOA(9148, large, F9, 2, 13) | [i] | ||
| 26 | Linear OOA(9150, large, F9, 2, 13) | [i] | ||
| 27 | Linear OOA(999, 8388602, F9, 2, 13) (dual of [(8388602, 2), 16777105, 14]-NRT-code) | [i] | OOA Duplication | |
| 28 | Linear OOA(998, 4194301, F9, 3, 13) (dual of [(4194301, 3), 12582805, 14]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(998, 2796200, F9, 14, 13) (dual of [(2796200, 14), 39146702, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |