Information on Result #703115
Linear OA(326, 242, F3, 8) (dual of [242, 216, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9
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]
- Primitive BCH-Codes (hidden) [i]
- 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 OOA(326, 141, F3, 2, 8) (dual of [(141, 2), 256, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(326, 141, F3, 3, 8) (dual of [(141, 3), 397, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(326, 141, F3, 4, 8) (dual of [(141, 4), 538, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(326, 141, F3, 5, 8) (dual of [(141, 5), 679, 9]-NRT-code) | [i] | ||
| 5 | Digital (18, 26, 141)-net over F3 | [i] | ||
| 6 | Linear OA(331, 252, F3, 9) (dual of [252, 221, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(339, 260, F3, 11) (dual of [260, 221, 12]-code) | [i] | ✔ | |
| 8 | Linear OA(346, 267, F3, 12) (dual of [267, 221, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(354, 275, F3, 14) (dual of [275, 221, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(345, 261, F3, 13) (dual of [261, 216, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(343, 259, F3, 12) (dual of [259, 216, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(352, 268, F3, 14) (dual of [268, 216, 15]-code) | [i] | ✔ | |