Information on Result #703618
Linear OA(3116, 242, F3, 40) (dual of [242, 126, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3130, 261, F3, 43) (dual of [261, 131, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(3128, 259, F3, 42) (dual of [259, 131, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(3137, 268, F3, 44) (dual of [268, 131, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(3145, 276, F3, 46) (dual of [276, 131, 47]-code) | [i] | ✔ | |
| 5 | Linear OA(3126, 252, F3, 42) (dual of [252, 126, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(3134, 260, F3, 44) (dual of [260, 126, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(3141, 267, F3, 45) (dual of [267, 126, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(3142, 268, F3, 46) (dual of [268, 126, 47]-code) | [i] | ✔ | |
| 9 | Linear OA(3140, 266, F3, 45) (dual of [266, 126, 46]-code) | [i] | ✔ | |
| 10 | Linear OOA(3116, 121, F3, 2, 40) (dual of [(121, 2), 126, 41]-NRT-code) | [i] | OOA Folding | |