Information on Result #876437
Linear OOA(8149, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using OOA 2-folding 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]
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(8151, 4194302, F81, 2, 13) (dual of [(4194302, 2), 8388553, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8153, 4194303, F81, 2, 13) (dual of [(4194303, 2), 8388553, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(8150, 4194301, F81, 2, 13) (dual of [(4194301, 2), 8388552, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(998, 8388602, F9, 2, 13) (dual of [(8388602, 2), 16777106, 14]-NRT-code) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(8155, 4194383, F81, 2, 13) (dual of [(4194383, 2), 8388711, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8156, 4194401, F81, 2, 13) (dual of [(4194401, 2), 8388746, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(8157, 4194417, F81, 2, 13) (dual of [(4194417, 2), 8388777, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(8158, 4194465, F81, 2, 13) (dual of [(4194465, 2), 8388872, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(8159, 4194483, F81, 2, 13) (dual of [(4194483, 2), 8388907, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(8160, 4197582, F81, 2, 13) (dual of [(4197582, 2), 8395104, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(8161, 4197584, F81, 2, 13) (dual of [(4197584, 2), 8395107, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(8162, 4197585, F81, 2, 13) (dual of [(4197585, 2), 8395108, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(8163, 4197664, F81, 2, 13) (dual of [(4197664, 2), 8395265, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(8164, 4200863, F81, 2, 13) (dual of [(4200863, 2), 8401662, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(8165, 4460023, F81, 2, 13) (dual of [(4460023, 2), 8919981, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(8166, 4460025, F81, 2, 13) (dual of [(4460025, 2), 8919984, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(8167, 4460027, F81, 2, 13) (dual of [(4460027, 2), 8919987, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(8168, 4460105, F81, 2, 13) (dual of [(4460105, 2), 8920142, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(8169, 4466585, F81, 2, 13) (dual of [(4466585, 2), 8933101, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(8170, 8388602, F81, 2, 13) (dual of [(8388602, 2), 16777134, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(8163, 4200943, F81, 2, 13) (dual of [(4200943, 2), 8401823, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(8164, 4200961, F81, 2, 13) (dual of [(4200961, 2), 8401858, 14]-NRT-code) | [i] | ||