Information on Result #1008938
Linear OOA(8154, 5592402, F8, 3, 20) (dual of [(5592402, 3), 16777052, 21]-NRT-code), using trace code based on linear OOA(6477, 2796201, F64, 3, 20) (dual of [(2796201, 3), 8388526, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6477, large, F64, 20) (dual of [large, large−77, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(8157, 5592403, F8, 3, 20) (dual of [(5592403, 3), 16777052, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8160, 5592404, F8, 3, 20) (dual of [(5592404, 3), 16777052, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(8163, 5592405, F8, 3, 20) (dual of [(5592405, 3), 16777052, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(8155, 5592402, F8, 3, 20) (dual of [(5592402, 3), 16777051, 21]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(8156, 5592402, F8, 3, 20) (dual of [(5592402, 3), 16777050, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(8164, 5592411, F8, 3, 20) (dual of [(5592411, 3), 16777069, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8165, 5592416, F8, 3, 20) (dual of [(5592416, 3), 16777083, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(8166, 5592419, F8, 3, 20) (dual of [(5592419, 3), 16777091, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(8167, 5592426, F8, 3, 20) (dual of [(5592426, 3), 16777111, 21]-NRT-code) | [i] | ||
| 10 | Linear OOA(8168, 5592427, F8, 3, 20) (dual of [(5592427, 3), 16777113, 21]-NRT-code) | [i] | ||
| 11 | Linear OOA(8169, 5592430, F8, 3, 20) (dual of [(5592430, 3), 16777121, 21]-NRT-code) | [i] | ||
| 12 | Linear OOA(8171, 5592438, F8, 3, 20) (dual of [(5592438, 3), 16777143, 21]-NRT-code) | [i] | ||
| 13 | Linear OOA(8173, 5592467, F8, 3, 20) (dual of [(5592467, 3), 16777228, 21]-NRT-code) | [i] | ||
| 14 | OOA(8170, 5592435, S8, 3, 20) | [i] | ||
| 15 | OOA(8172, 5592440, S8, 3, 20) | [i] | ||