Information on Result #2265559
Linear OA(3231, large, F3, 20) (dual of [large, large−231, 21]-code), using 35 times code embedding in larger space based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, 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 t, 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(3231, 4716804, F3, 2, 20) (dual of [(4716804, 2), 9433377, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3231, 4716804, F3, 3, 20) (dual of [(4716804, 3), 14150181, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3231, 4716804, F3, 4, 20) (dual of [(4716804, 4), 18866985, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3231, 4716804, F3, 5, 20) (dual of [(4716804, 5), 23583789, 21]-NRT-code) | [i] | ||
| 5 | Digital (211, 231, 4716804)-net over F3 | [i] | ||