Information on Result #721651
Linear OA(1663, 255, F16, 36) (dual of [255, 192, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1671, 276, F16, 36) (dual of [276, 205, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(1670, 274, F16, 36) (dual of [274, 204, 37]-code) | [i] | ✔ | |
| 3 | Linear OA(1669, 272, F16, 36) (dual of [272, 203, 37]-code) | [i] | ✔ | |
| 4 | Linear OA(1668, 269, F16, 36) (dual of [269, 201, 37]-code) | [i] | ✔ | |
| 5 | Linear OA(1667, 266, F16, 36) (dual of [266, 199, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(1666, 263, F16, 36) (dual of [263, 197, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(1665, 259, F16, 37) (dual of [259, 194, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(1668, 262, F16, 38) (dual of [262, 194, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(1671, 265, F16, 39) (dual of [265, 194, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(1674, 268, F16, 40) (dual of [268, 194, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(1681, 276, F16, 42) (dual of [276, 195, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(1677, 271, F16, 41) (dual of [271, 194, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(1680, 274, F16, 42) (dual of [274, 194, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(1684, 278, F16, 43) (dual of [278, 194, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(1687, 281, F16, 44) (dual of [281, 194, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(1667, 259, F16, 38) (dual of [259, 192, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(1673, 265, F16, 40) (dual of [265, 192, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(1679, 271, F16, 42) (dual of [271, 192, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(1686, 278, F16, 44) (dual of [278, 192, 45]-code) | [i] | ✔ | |
| 20 | Linear OA(1685, 277, F16, 44) (dual of [277, 192, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(1688, 280, F16, 45) (dual of [280, 192, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(1691, 283, F16, 46) (dual of [283, 192, 47]-code) | [i] | ✔ | |