Information on Result #991188
Linear OOA(8157, 2796201, F81, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using OOA 3-folding 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(8160, 2796202, F81, 3, 15) (dual of [(2796202, 3), 8388546, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8163, 2796203, F81, 3, 15) (dual of [(2796203, 3), 8388546, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(8158, 2796201, F81, 3, 15) (dual of [(2796201, 3), 8388545, 16]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8159, 2796201, F81, 3, 15) (dual of [(2796201, 3), 8388544, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(3228, large, F3, 3, 15) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(9114, 5592402, F9, 3, 15) (dual of [(5592402, 3), 16777092, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(8164, 2796283, F81, 3, 15) (dual of [(2796283, 3), 8388785, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(8165, 2796301, F81, 3, 15) (dual of [(2796301, 3), 8388838, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(8166, 2796317, F81, 3, 15) (dual of [(2796317, 3), 8388885, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(8167, 2796365, F81, 3, 15) (dual of [(2796365, 3), 8389028, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(8168, 2796383, F81, 3, 15) (dual of [(2796383, 3), 8389081, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(8169, 2796401, F81, 3, 15) (dual of [(2796401, 3), 8389134, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(8170, 2798388, F81, 3, 15) (dual of [(2798388, 3), 8395094, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(8171, 2798390, F81, 3, 15) (dual of [(2798390, 3), 8395099, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(8173, 2799522, F81, 3, 15) (dual of [(2799522, 3), 8398493, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(8174, 2800576, F81, 3, 15) (dual of [(2800576, 3), 8401654, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(8175, 2800579, F81, 3, 15) (dual of [(2800579, 3), 8401662, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(8176, 2973349, F81, 3, 15) (dual of [(2973349, 3), 8919971, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(8177, 2973351, F81, 3, 15) (dual of [(2973351, 3), 8919976, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(8179, 2973431, F81, 3, 15) (dual of [(2973431, 3), 8920214, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(8180, 2979911, F81, 3, 15) (dual of [(2979911, 3), 8939653, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(8181, 2989667, F81, 3, 15) (dual of [(2989667, 3), 8968920, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(8182, 5592402, F81, 3, 15) (dual of [(5592402, 3), 16777124, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(8169, 2796447, F81, 3, 15) (dual of [(2796447, 3), 8389272, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(8173, 2802843, F81, 3, 15) (dual of [(2802843, 3), 8408456, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(8174, 2802861, F81, 3, 15) (dual of [(2802861, 3), 8408509, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(8175, 2802879, F81, 3, 15) (dual of [(2802879, 3), 8408562, 16]-NRT-code) | [i] | ||