Information on Result #1061067
Linear OOA(3226, 2097150, F3, 4, 23) (dual of [(2097150, 4), 8388374, 24]-NRT-code), using OOA 4-folding based on linear OA(3226, 8388600, F3, 23) (dual of [8388600, 8388374, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [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(3227, 2097150, F3, 4, 23) (dual of [(2097150, 4), 8388373, 24]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3237, 2097154, F3, 4, 23) (dual of [(2097154, 4), 8388379, 24]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3238, 2097157, F3, 4, 23) (dual of [(2097157, 4), 8388390, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3239, 2097158, F3, 4, 23) (dual of [(2097158, 4), 8388393, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(3240, 2097160, F3, 4, 23) (dual of [(2097160, 4), 8388400, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(3241, 2097162, F3, 4, 23) (dual of [(2097162, 4), 8388407, 24]-NRT-code) | [i] | ||
| 7 | Linear OOA(3242, 2097163, F3, 4, 23) (dual of [(2097163, 4), 8388410, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(3243, 2097164, F3, 4, 23) (dual of [(2097164, 4), 8388413, 24]-NRT-code) | [i] | ||
| 9 | Linear OOA(3244, 2097168, F3, 4, 23) (dual of [(2097168, 4), 8388428, 24]-NRT-code) | [i] | ||
| 10 | Linear OOA(3245, 2097170, F3, 4, 23) (dual of [(2097170, 4), 8388435, 24]-NRT-code) | [i] | ||
| 11 | Linear OOA(3246, 2097171, F3, 4, 23) (dual of [(2097171, 4), 8388438, 24]-NRT-code) | [i] | ||
| 12 | Linear OOA(3247, 2097173, F3, 4, 23) (dual of [(2097173, 4), 8388445, 24]-NRT-code) | [i] | ||
| 13 | Linear OOA(3248, 2097175, F3, 4, 23) (dual of [(2097175, 4), 8388452, 24]-NRT-code) | [i] | ||
| 14 | Linear OOA(3249, 2097176, F3, 4, 23) (dual of [(2097176, 4), 8388455, 24]-NRT-code) | [i] | ||
| 15 | Linear OOA(3250, 2097182, F3, 4, 23) (dual of [(2097182, 4), 8388478, 24]-NRT-code) | [i] | ||
| 16 | Linear OOA(3226, 2097150, F3, 5, 23) (dual of [(2097150, 5), 10485524, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 17 | Digital (203, 226, 2097150)-net over F3 | [i] | ||