Information on Result #876506
Linear OOA(8157, 4194301, F81, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using OOA 2-folding based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(8159, 4194302, F81, 2, 15) (dual of [(4194302, 2), 8388545, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8161, 4194303, F81, 2, 15) (dual of [(4194303, 2), 8388545, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(8163, 4194304, F81, 2, 15) (dual of [(4194304, 2), 8388545, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(8158, 4194301, F81, 2, 15) (dual of [(4194301, 2), 8388544, 16]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(9114, 8388602, F9, 2, 15) (dual of [(8388602, 2), 16777090, 16]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(8164, 4194383, F81, 2, 15) (dual of [(4194383, 2), 8388702, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8165, 4194401, F81, 2, 15) (dual of [(4194401, 2), 8388737, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(8166, 4194417, F81, 2, 15) (dual of [(4194417, 2), 8388768, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(8167, 4194465, F81, 2, 15) (dual of [(4194465, 2), 8388863, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(8168, 4194483, F81, 2, 15) (dual of [(4194483, 2), 8388898, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(8169, 4194501, F81, 2, 15) (dual of [(4194501, 2), 8388933, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(8170, 4197582, F81, 2, 15) (dual of [(4197582, 2), 8395094, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(8171, 4197584, F81, 2, 15) (dual of [(4197584, 2), 8395097, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(8172, 4197585, F81, 2, 15) (dual of [(4197585, 2), 8395098, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(8173, 4197664, F81, 2, 15) (dual of [(4197664, 2), 8395255, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(8174, 4200863, F81, 2, 15) (dual of [(4200863, 2), 8401652, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(8175, 4200867, F81, 2, 15) (dual of [(4200867, 2), 8401659, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(8176, 4460023, F81, 2, 15) (dual of [(4460023, 2), 8919970, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(8177, 4460026, F81, 2, 15) (dual of [(4460026, 2), 8919975, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(8178, 4460027, F81, 2, 15) (dual of [(4460027, 2), 8919976, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(8179, 4460105, F81, 2, 15) (dual of [(4460105, 2), 8920131, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(8180, 4466585, F81, 2, 15) (dual of [(4466585, 2), 8933090, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(8181, 4476341, F81, 2, 15) (dual of [(4476341, 2), 8952601, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(8182, 8388602, F81, 2, 15) (dual of [(8388602, 2), 16777122, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(8169, 4194547, F81, 2, 15) (dual of [(4194547, 2), 8389025, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(8173, 4200943, F81, 2, 15) (dual of [(4200943, 2), 8401813, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(8174, 4200961, F81, 2, 15) (dual of [(4200961, 2), 8401848, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(8175, 4200979, F81, 2, 15) (dual of [(4200979, 2), 8401883, 16]-NRT-code) | [i] | ||