Information on Result #703525
Linear OA(3100, 242, F3, 33) (dual of [242, 142, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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.
Compare with Markus Grassl’s online database of code parameters.
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 OA(3106, 262, F3, 33) (dual of [262, 156, 34]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3107, 269, F3, 33) (dual of [269, 162, 34]-code) | [i] | ||
| 3 | Linear OA(3108, 255, F3, 35) (dual of [255, 147, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(3117, 264, F3, 37) (dual of [264, 147, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(3115, 261, F3, 36) (dual of [261, 146, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(3138, 280, F3, 42) (dual of [280, 142, 43]-code) | [i] | ✔ | |
| 7 | Linear OOA(3100, 121, F3, 2, 33) (dual of [(121, 2), 142, 34]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3100, 80, F3, 3, 33) (dual of [(80, 3), 140, 34]-NRT-code) | [i] | ||