Information on Result #1068663
Linear OOA(8141, 2097150, F81, 4, 11) (dual of [(2097150, 4), 8388559, 12]-NRT-code), using OOA 4-folding based on linear OA(8141, 8388600, F81, 11) (dual of [8388600, 8388559, 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(8142, 2097150, F81, 4, 11) (dual of [(2097150, 4), 8388558, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3164, 8388600, F3, 4, 11) (dual of [(8388600, 4), 33554236, 12]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8146, 2097232, F81, 4, 11) (dual of [(2097232, 4), 8388882, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8147, 2097250, F81, 4, 11) (dual of [(2097250, 4), 8388953, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(8148, 2100390, F81, 4, 11) (dual of [(2100390, 4), 8401512, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(8150, 2100472, F81, 4, 11) (dual of [(2100472, 4), 8401838, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(8151, 2103791, F81, 4, 11) (dual of [(2103791, 4), 8415113, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(8152, 2106871, F81, 4, 11) (dual of [(2106871, 4), 8427432, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(8153, 2110111, F81, 4, 11) (dual of [(2110111, 4), 8440391, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(8154, 2362871, F81, 4, 11) (dual of [(2362871, 4), 9451430, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(8155, 2362874, F81, 4, 11) (dual of [(2362874, 4), 9451441, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(8156, 2366231, F81, 4, 11) (dual of [(2366231, 4), 9464868, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(8157, 2635151, F81, 4, 11) (dual of [(2635151, 4), 10540547, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(8151, 2103792, F81, 4, 11) (dual of [(2103792, 4), 8415117, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(8156, 2366232, F81, 4, 11) (dual of [(2366232, 4), 9464872, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(8157, 2635152, F81, 4, 11) (dual of [(2635152, 4), 10540551, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(8161, 4194382, F81, 4, 11) (dual of [(4194382, 4), 16777467, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 18 | Linear OOA(8162, 4200862, F81, 4, 11) (dual of [(4200862, 4), 16803386, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(8163, 4210618, F81, 4, 11) (dual of [(4210618, 4), 16842409, 12]-NRT-code) | [i] | ||