Information on Result #1060956
Linear OOA(3211, 2097150, F3, 4, 22) (dual of [(2097150, 4), 8388389, 23]-NRT-code), using OOA 4-folding based on linear OA(3211, 8388600, F3, 22) (dual of [8388600, 8388389, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [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(3211, 2097150, F3, 4, 21) (dual of [(2097150, 4), 8388389, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3212, 2097150, F3, 4, 22) (dual of [(2097150, 4), 8388388, 23]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3222, 2097154, F3, 4, 22) (dual of [(2097154, 4), 8388394, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3223, 2097157, F3, 4, 22) (dual of [(2097157, 4), 8388405, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(3224, 2097158, F3, 4, 22) (dual of [(2097158, 4), 8388408, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(3225, 2097160, F3, 4, 22) (dual of [(2097160, 4), 8388415, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(3226, 2097162, F3, 4, 22) (dual of [(2097162, 4), 8388422, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(3227, 2097163, F3, 4, 22) (dual of [(2097163, 4), 8388425, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(3228, 2097164, F3, 4, 22) (dual of [(2097164, 4), 8388428, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(3229, 2097168, F3, 4, 22) (dual of [(2097168, 4), 8388443, 23]-NRT-code) | [i] | ||
| 11 | Linear OOA(3230, 2097170, F3, 4, 22) (dual of [(2097170, 4), 8388450, 23]-NRT-code) | [i] | ||
| 12 | Linear OOA(3231, 2097171, F3, 4, 22) (dual of [(2097171, 4), 8388453, 23]-NRT-code) | [i] | ||
| 13 | Linear OOA(3232, 2097173, F3, 4, 22) (dual of [(2097173, 4), 8388460, 23]-NRT-code) | [i] | ||
| 14 | Linear OOA(3233, 2097175, F3, 4, 22) (dual of [(2097175, 4), 8388467, 23]-NRT-code) | [i] | ||
| 15 | Linear OOA(3234, 2097176, F3, 4, 22) (dual of [(2097176, 4), 8388470, 23]-NRT-code) | [i] | ||
| 16 | Linear OOA(3235, 2097182, F3, 4, 22) (dual of [(2097182, 4), 8388493, 23]-NRT-code) | [i] | ||
| 17 | Linear OOA(3237, 2097190, F3, 4, 22) (dual of [(2097190, 4), 8388523, 23]-NRT-code) | [i] | ||
| 18 | Linear OOA(3239, 2097206, F3, 4, 22) (dual of [(2097206, 4), 8388585, 23]-NRT-code) | [i] | ||
| 19 | Linear OOA(3241, 2097210, F3, 4, 22) (dual of [(2097210, 4), 8388599, 23]-NRT-code) | [i] | ||
| 20 | Linear OOA(3243, 2097214, F3, 4, 22) (dual of [(2097214, 4), 8388613, 23]-NRT-code) | [i] | ||
| 21 | Linear OOA(3244, 2097234, F3, 4, 22) (dual of [(2097234, 4), 8388692, 23]-NRT-code) | [i] | ||
| 22 | Linear OOA(3247, 2097264, F3, 4, 22) (dual of [(2097264, 4), 8388809, 23]-NRT-code) | [i] | ||
| 23 | Linear OOA(3250, 2097294, F3, 4, 22) (dual of [(2097294, 4), 8388926, 23]-NRT-code) | [i] | ||
| 24 | Linear OOA(3211, 2097150, F3, 5, 22) (dual of [(2097150, 5), 10485539, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 25 | Digital (189, 211, 2097150)-net over F3 | [i] | ||