Information on Result #1068796
Linear OOA(8153, 2097150, F81, 4, 14) (dual of [(2097150, 4), 8388547, 15]-NRT-code), using OOA 4-folding based on linear OA(8153, 8388600, F81, 14) (dual of [8388600, 8388547, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8153, large, F81, 14) (dual of [large, large−53, 15]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(8154, 2097150, F81, 4, 14) (dual of [(2097150, 4), 8388546, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3212, 8388600, F3, 4, 14) (dual of [(8388600, 4), 33554188, 15]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8160, 2097232, F81, 4, 14) (dual of [(2097232, 4), 8388868, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8161, 2097250, F81, 4, 14) (dual of [(2097250, 4), 8388939, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(8162, 2097266, F81, 4, 14) (dual of [(2097266, 4), 8389002, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(8163, 2097314, F81, 4, 14) (dual of [(2097314, 4), 8389193, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(8164, 2097332, F81, 4, 14) (dual of [(2097332, 4), 8389264, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(8165, 2097395, F81, 4, 14) (dual of [(2097395, 4), 8389515, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(8166, 2099337, F81, 4, 14) (dual of [(2099337, 4), 8397282, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(8167, 2099338, F81, 4, 14) (dual of [(2099338, 4), 8397285, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(8168, 2099339, F81, 4, 14) (dual of [(2099339, 4), 8397288, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(8169, 2103791, F81, 4, 14) (dual of [(2103791, 4), 8415095, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(8170, 2103809, F81, 4, 14) (dual of [(2103809, 4), 8415166, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(8171, 2103827, F81, 4, 14) (dual of [(2103827, 4), 8415237, 15]-NRT-code) | [i] | ||
| 15 | Linear OOA(8172, 2274297, F81, 4, 14) (dual of [(2274297, 4), 9097116, 15]-NRT-code) | [i] | ||
| 16 | Linear OOA(8173, 2274299, F81, 4, 14) (dual of [(2274299, 4), 9097123, 15]-NRT-code) | [i] | ||
| 17 | Linear OOA(8174, 2274300, F81, 4, 14) (dual of [(2274300, 4), 9097126, 15]-NRT-code) | [i] | ||
| 18 | Linear OOA(8175, 2274379, F81, 4, 14) (dual of [(2274379, 4), 9097441, 15]-NRT-code) | [i] | ||
| 19 | Linear OOA(8176, 2280859, F81, 4, 14) (dual of [(2280859, 4), 9123360, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(8177, 2290615, F81, 4, 14) (dual of [(2290615, 4), 9162383, 15]-NRT-code) | [i] | ||
| 21 | Linear OOA(8165, 2097396, F81, 4, 14) (dual of [(2097396, 4), 8389519, 15]-NRT-code) | [i] | ||
| 22 | Linear OOA(8169, 2103792, F81, 4, 14) (dual of [(2103792, 4), 8415099, 15]-NRT-code) | [i] | ||
| 23 | Linear OOA(8170, 2103810, F81, 4, 14) (dual of [(2103810, 4), 8415170, 15]-NRT-code) | [i] | ||
| 24 | Linear OOA(8171, 2103828, F81, 4, 14) (dual of [(2103828, 4), 8415241, 15]-NRT-code) | [i] | ||
| 25 | Linear OOA(8182, 4194382, F81, 4, 14) (dual of [(4194382, 4), 16777446, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |