Information on Result #704556
Linear OA(3102, 728, F3, 25) (dual of [728, 626, 26]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3102, 567, F3, 2, 25) (dual of [(567, 2), 1032, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3102, 567, F3, 3, 25) (dual of [(567, 3), 1599, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3102, 567, F3, 4, 25) (dual of [(567, 4), 2166, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(3102, 567, F3, 5, 25) (dual of [(567, 5), 2733, 26]-NRT-code) | [i] | ||
| 5 | Digital (77, 102, 567)-net over F3 | [i] | ||
| 6 | Linear OA(3134, 778, F3, 30) (dual of [778, 644, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3140, 766, F3, 33) (dual of [766, 626, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3153, 777, F3, 35) (dual of [777, 624, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(3159, 784, F3, 36) (dual of [784, 625, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(3163, 787, F3, 37) (dual of [787, 624, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(3157, 778, F3, 36) (dual of [778, 621, 37]-code) | [i] | ✔ | |