Information on Result #703635
Linear OA(3125, 242, F3, 42) (dual of [242, 117, 43]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(3133, 255, F3, 44) (dual of [255, 122, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(3142, 264, F3, 46) (dual of [264, 122, 47]-code) | [i] | ✔ | |
3 | Linear OA(3140, 261, F3, 45) (dual of [261, 121, 46]-code) | [i] | ✔ | |
4 | Linear OOA(3125, 121, F3, 2, 42) (dual of [(121, 2), 117, 43]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(3125, 80, F3, 3, 42) (dual of [(80, 3), 115, 43]-NRT-code) | [i] |