Information on Result #721908
Linear OA(1679, 255, F16, 44) (dual of [255, 176, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45
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.
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]
- 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 OA(1681, 259, F16, 45) (dual of [259, 178, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(1684, 262, F16, 46) (dual of [262, 178, 47]-code) | [i] | ✔ | |
| 3 | Linear OA(1687, 265, F16, 47) (dual of [265, 178, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(1690, 268, F16, 48) (dual of [268, 178, 49]-code) | [i] | ✔ | |
| 5 | Linear OA(1683, 259, F16, 46) (dual of [259, 176, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(1689, 265, F16, 48) (dual of [265, 176, 49]-code) | [i] | ✔ | |