Information on Result #706177
Linear OA(445, 255, F4, 15) (dual of [255, 210, 16]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16
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]
- 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(445, 197, F4, 2, 15) (dual of [(197, 2), 349, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(445, 197, F4, 3, 15) (dual of [(197, 3), 546, 16]-NRT-code) | [i] | ||
| 3 | Digital (30, 45, 197)-net over F4 | [i] | ||
| 4 | Linear OA(465, 287, F4, 19) (dual of [287, 222, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(449, 263, F4, 16) (dual of [263, 214, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(468, 285, F4, 20) (dual of [285, 217, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(467, 280, F4, 20) (dual of [280, 213, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(466, 276, F4, 21) (dual of [276, 210, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(476, 285, F4, 23) (dual of [285, 209, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(475, 285, F4, 23) (dual of [285, 210, 24]-code) | [i] | ✔ | |