Information on Result #1068703
Linear OOA(8145, 2097150, F81, 4, 12) (dual of [(2097150, 4), 8388555, 13]-NRT-code), using OOA 4-folding based on linear OA(8145, 8388600, F81, 12) (dual of [8388600, 8388555, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(8146, 2097150, F81, 4, 12) (dual of [(2097150, 4), 8388554, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3180, 8388600, F3, 4, 12) (dual of [(8388600, 4), 33554220, 13]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8151, 2097232, F81, 4, 12) (dual of [(2097232, 4), 8388877, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8152, 2097250, F81, 4, 12) (dual of [(2097250, 4), 8388948, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(8153, 2097266, F81, 4, 12) (dual of [(2097266, 4), 8389011, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(8154, 2097314, F81, 4, 12) (dual of [(2097314, 4), 8389202, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(8155, 2097332, F81, 4, 12) (dual of [(2097332, 4), 8389273, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(8156, 2099337, F81, 4, 12) (dual of [(2099337, 4), 8397292, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(8157, 2099338, F81, 4, 12) (dual of [(2099338, 4), 8397295, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(8158, 2099339, F81, 4, 12) (dual of [(2099339, 4), 8397298, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(8159, 2103791, F81, 4, 12) (dual of [(2103791, 4), 8415105, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(8160, 2103809, F81, 4, 12) (dual of [(2103809, 4), 8415176, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(8161, 2274298, F81, 4, 12) (dual of [(2274298, 4), 9097131, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(8162, 2274299, F81, 4, 12) (dual of [(2274299, 4), 9097134, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(8163, 2274300, F81, 4, 12) (dual of [(2274300, 4), 9097137, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(8164, 2274380, F81, 4, 12) (dual of [(2274380, 4), 9097456, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(8165, 2280860, F81, 4, 12) (dual of [(2280860, 4), 9123375, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(8159, 2103792, F81, 4, 12) (dual of [(2103792, 4), 8415109, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(8160, 2103810, F81, 4, 12) (dual of [(2103810, 4), 8415180, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(8178, 4200862, F81, 4, 12) (dual of [(4200862, 4), 16803370, 13]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 21 | Linear OOA(8179, 4204020, F81, 4, 12) (dual of [(4204020, 4), 16816001, 13]-NRT-code) | [i] | ||
| 22 | Linear OOA(8175, 4197622, F81, 4, 12) (dual of [(4197622, 4), 16790413, 13]-NRT-code) | [i] | ||
| 23 | Linear OOA(8176, 4200780, F81, 4, 12) (dual of [(4200780, 4), 16803044, 13]-NRT-code) | [i] | ||
| 24 | Linear OOA(8177, 4200862, F81, 4, 12) (dual of [(4200862, 4), 16803371, 13]-NRT-code) | [i] | ||
| 25 | Linear OOA(8177, 4201024, F81, 4, 12) (dual of [(4201024, 4), 16804019, 13]-NRT-code) | [i] | ||
| 26 | Linear OOA(8178, 4207504, F81, 4, 12) (dual of [(4207504, 4), 16829938, 13]-NRT-code) | [i] | ||
| 27 | Linear OOA(8179, 4207584, F81, 4, 12) (dual of [(4207584, 4), 16830257, 13]-NRT-code) | [i] | ||
| 28 | Linear OOA(8179, 4460104, F81, 4, 12) (dual of [(4460104, 4), 17840337, 13]-NRT-code) | [i] | ||
| 29 | Linear OOA(8170, 4194382, F81, 4, 12) (dual of [(4194382, 4), 16777458, 13]-NRT-code) | [i] | ||
| 30 | Linear OOA(8171, 4194400, F81, 4, 12) (dual of [(4194400, 4), 16777529, 13]-NRT-code) | [i] | ||
| 31 | Linear OOA(8172, 4197540, F81, 4, 12) (dual of [(4197540, 4), 16790088, 13]-NRT-code) | [i] | ||
| 32 | Linear OOA(8173, 4197581, F81, 4, 12) (dual of [(4197581, 4), 16790251, 13]-NRT-code) | [i] | ||
| 33 | Linear OOA(8174, 4200942, F81, 4, 12) (dual of [(4200942, 4), 16803694, 13]-NRT-code) | [i] | ||
| 34 | Linear OOA(8175, 4200960, F81, 4, 12) (dual of [(4200960, 4), 16803765, 13]-NRT-code) | [i] | ||
| 35 | Linear OOA(8176, 4460022, F81, 4, 12) (dual of [(4460022, 4), 17840012, 13]-NRT-code) | [i] | ||
| 36 | Linear OOA(8177, 4460024, F81, 4, 12) (dual of [(4460024, 4), 17840019, 13]-NRT-code) | [i] | ||
| 37 | Linear OOA(8178, 4460104, F81, 4, 12) (dual of [(4460104, 4), 17840338, 13]-NRT-code) | [i] | ||
| 38 | Linear OOA(8179, 6291450, F81, 4, 12) (dual of [(6291450, 4), 25165721, 13]-NRT-code) | [i] | ||