Information on Result #703582
Linear OA(3110, 242, F3, 37) (dual of [242, 132, 38]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(3110, 242, F3, 36) (dual of [242, 132, 37]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3116, 265, F3, 37) (dual of [265, 149, 38]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3138, 280, F3, 42) (dual of [280, 142, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(3123, 255, F3, 41) (dual of [255, 132, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(3132, 264, F3, 43) (dual of [264, 132, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(3130, 261, F3, 42) (dual of [261, 131, 43]-code) | [i] | ✔ | |
| 7 | Linear OOA(3110, 121, F3, 2, 37) (dual of [(121, 2), 132, 38]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3110, 80, F3, 3, 37) (dual of [(80, 3), 130, 38]-NRT-code) | [i] | ||