Information on Result #2265560
Linear OA(3232, large, F3, 20) (dual of [large, large−232, 21]-code), using 36 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(3232, 5013658, F3, 2, 20) (dual of [(5013658, 2), 10027084, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3232, 5013658, F3, 3, 20) (dual of [(5013658, 3), 15040742, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3232, 5013658, F3, 4, 20) (dual of [(5013658, 4), 20054400, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3232, 5013658, F3, 5, 20) (dual of [(5013658, 5), 25068058, 21]-NRT-code) | [i] | ||
| 5 | Digital (212, 232, 5013658)-net over F3 | [i] | ||