Information on Result #703338
Linear OA(390, 242, F3, 30) (dual of [242, 152, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(390, 242, F3, 29) (dual of [242, 152, 30]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(390, 242, F3, 28) (dual of [242, 152, 29]-code) | [i] | ||
| 3 | Linear OA(390, 242, F3, 27) (dual of [242, 152, 28]-code) | [i] | ||
| 4 | Linear OA(392, 244, F3, 30) (dual of [244, 152, 31]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(393, 245, F3, 30) (dual of [245, 152, 31]-code) | [i] | ||
| 6 | Linear OA(398, 262, F3, 30) (dual of [262, 164, 31]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(399, 268, F3, 30) (dual of [268, 169, 31]-code) | [i] | ||
| 8 | Linear OA(3100, 275, F3, 30) (dual of [275, 175, 31]-code) | [i] | ||
| 9 | Linear OA(3101, 284, F3, 30) (dual of [284, 183, 31]-code) | [i] | ||
| 10 | Linear OA(3102, 293, F3, 30) (dual of [293, 191, 31]-code) | [i] | ||
| 11 | Linear OA(3103, 304, F3, 30) (dual of [304, 201, 31]-code) | [i] | ||
| 12 | Linear OA(3104, 315, F3, 30) (dual of [315, 211, 31]-code) | [i] | ||
| 13 | Linear OA(3105, 274, F3, 30) (dual of [274, 169, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 14 | Linear OA(3127, 288, F3, 36) (dual of [288, 161, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(3124, 280, F3, 36) (dual of [280, 156, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(393, 246, F3, 30) (dual of [246, 153, 31]-code) | [i] | Construction X with Varšamov Bound | |
| 17 | Linear OA(394, 248, F3, 30) (dual of [248, 154, 31]-code) | [i] | ||
| 18 | Linear OOA(390, 121, F3, 2, 30) (dual of [(121, 2), 152, 31]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(390, 80, F3, 3, 30) (dual of [(80, 3), 150, 31]-NRT-code) | [i] | ||