Information on Result #1068748
Linear OOA(8149, 2097150, F81, 4, 13) (dual of [(2097150, 4), 8388551, 14]-NRT-code), using OOA 4-folding based on linear OA(8149, 8388600, F81, 13) (dual of [8388600, 8388551, 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(8150, 2097150, F81, 4, 13) (dual of [(2097150, 4), 8388550, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3196, 8388600, F3, 4, 13) (dual of [(8388600, 4), 33554204, 14]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8155, 2097232, F81, 4, 13) (dual of [(2097232, 4), 8388873, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8156, 2097250, F81, 4, 13) (dual of [(2097250, 4), 8388944, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(8157, 2097266, F81, 4, 13) (dual of [(2097266, 4), 8389007, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(8158, 2097314, F81, 4, 13) (dual of [(2097314, 4), 8389198, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(8159, 2097332, F81, 4, 13) (dual of [(2097332, 4), 8389269, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(8160, 2099337, F81, 4, 13) (dual of [(2099337, 4), 8397288, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(8161, 2099338, F81, 4, 13) (dual of [(2099338, 4), 8397291, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(8162, 2099339, F81, 4, 13) (dual of [(2099339, 4), 8397294, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(8163, 2103791, F81, 4, 13) (dual of [(2103791, 4), 8415101, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(8164, 2103809, F81, 4, 13) (dual of [(2103809, 4), 8415172, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(8165, 2274298, F81, 4, 13) (dual of [(2274298, 4), 9097127, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(8166, 2274299, F81, 4, 13) (dual of [(2274299, 4), 9097130, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(8167, 2274300, F81, 4, 13) (dual of [(2274300, 4), 9097133, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(8168, 2274380, F81, 4, 13) (dual of [(2274380, 4), 9097452, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(8169, 2280860, F81, 4, 13) (dual of [(2280860, 4), 9123371, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(8163, 2103792, F81, 4, 13) (dual of [(2103792, 4), 8415105, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(8164, 2103810, F81, 4, 13) (dual of [(2103810, 4), 8415176, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(8182, 4200862, F81, 4, 13) (dual of [(4200862, 4), 16803366, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 21 | Linear OOA(8179, 4197622, F81, 4, 13) (dual of [(4197622, 4), 16790409, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(8180, 4200780, F81, 4, 13) (dual of [(4200780, 4), 16803040, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(8181, 4200862, F81, 4, 13) (dual of [(4200862, 4), 16803367, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(8181, 4201024, F81, 4, 13) (dual of [(4201024, 4), 16804015, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(8182, 4207504, F81, 4, 13) (dual of [(4207504, 4), 16829934, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(8174, 4194382, F81, 4, 13) (dual of [(4194382, 4), 16777454, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(8175, 4194400, F81, 4, 13) (dual of [(4194400, 4), 16777525, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(8176, 4197540, F81, 4, 13) (dual of [(4197540, 4), 16790084, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(8177, 4197581, F81, 4, 13) (dual of [(4197581, 4), 16790247, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(8178, 4200942, F81, 4, 13) (dual of [(4200942, 4), 16803690, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(8179, 4200960, F81, 4, 13) (dual of [(4200960, 4), 16803761, 14]-NRT-code) | [i] | ||
| 32 | Linear OOA(8180, 4460022, F81, 4, 13) (dual of [(4460022, 4), 17840008, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(8181, 4460024, F81, 4, 13) (dual of [(4460024, 4), 17840015, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(8182, 4460104, F81, 4, 13) (dual of [(4460104, 4), 17840334, 14]-NRT-code) | [i] | ||