Information on Result #703561
Linear OA(3115, 242, F3, 39) (dual of [242, 127, 40]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {82,83,…,120}, and designed minimum distance d ≥ |I|+1 = 40
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3120, 261, F3, 39) (dual of [261, 141, 40]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3121, 268, F3, 39) (dual of [268, 147, 40]-code) | [i] | ||
| 3 | Linear OA(3122, 275, F3, 39) (dual of [275, 153, 40]-code) | [i] | ||
| 4 | Linear OA(3130, 272, F3, 41) (dual of [272, 142, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(3128, 263, F3, 41) (dual of [263, 135, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(3127, 260, F3, 41) (dual of [260, 133, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(3139, 281, F3, 43) (dual of [281, 142, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(3135, 262, F3, 44) (dual of [262, 127, 45]-code) | [i] | ✔ | |
| 9 | Linear OOA(3115, 121, F3, 2, 39) (dual of [(121, 2), 127, 40]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(3115, 80, F3, 3, 39) (dual of [(80, 3), 125, 40]-NRT-code) | [i] | ||