Information on Result #722047
Linear OA(1698, 255, F16, 57) (dual of [255, 157, 58]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,56], and designed minimum distance d ≥ |I|+1 = 58
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(16113, 294, F16, 57) (dual of [294, 181, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(16112, 292, F16, 57) (dual of [292, 180, 58]-code) | [i] | ✔ | |
3 | Linear OA(16110, 287, F16, 57) (dual of [287, 177, 58]-code) | [i] | ✔ | |
4 | Linear OA(16109, 285, F16, 57) (dual of [285, 176, 58]-code) | [i] | ✔ | |
5 | Linear OA(16120, 288, F16, 63) (dual of [288, 168, 64]-code) | [i] | ✔ | |
6 | Linear OA(16100, 259, F16, 58) (dual of [259, 159, 59]-code) | [i] | ✔ | |
7 | Linear OA(16119, 286, F16, 63) (dual of [286, 167, 64]-code) | [i] | ✔ | |
8 | Linear OA(16103, 262, F16, 59) (dual of [262, 159, 60]-code) | [i] | ✔ | |
9 | Linear OA(16127, 295, F16, 65) (dual of [295, 168, 66]-code) | [i] | ✔ | |
10 | Linear OA(16118, 283, F16, 63) (dual of [283, 165, 64]-code) | [i] | ✔ | |
11 | Linear OA(16106, 265, F16, 60) (dual of [265, 159, 61]-code) | [i] | ✔ | |
12 | Linear OA(16126, 293, F16, 65) (dual of [293, 167, 66]-code) | [i] | ✔ | |
13 | Linear OA(16117, 280, F16, 63) (dual of [280, 163, 64]-code) | [i] | ✔ | |
14 | Linear OA(16109, 268, F16, 61) (dual of [268, 159, 62]-code) | [i] | ✔ | |
15 | Linear OA(16125, 290, F16, 65) (dual of [290, 165, 66]-code) | [i] | ✔ | |
16 | Linear OA(16116, 277, F16, 63) (dual of [277, 161, 64]-code) | [i] | ✔ | |
17 | Linear OA(16112, 271, F16, 62) (dual of [271, 159, 63]-code) | [i] | ✔ | |
18 | Linear OA(16115, 274, F16, 63) (dual of [274, 159, 64]-code) | [i] | ✔ | |
19 | Linear OA(16119, 278, F16, 64) (dual of [278, 159, 65]-code) | [i] | ✔ | |
20 | Linear OA(16102, 259, F16, 59) (dual of [259, 157, 60]-code) | [i] | ✔ | |
21 | Linear OA(16105, 262, F16, 60) (dual of [262, 157, 61]-code) | [i] | ✔ | |
22 | Linear OA(16108, 265, F16, 61) (dual of [265, 157, 62]-code) | [i] | ✔ | |
23 | Linear OA(16111, 268, F16, 62) (dual of [268, 157, 63]-code) | [i] | ✔ | |
24 | Linear OA(16114, 271, F16, 63) (dual of [271, 157, 64]-code) | [i] | ✔ | |
25 | Linear OA(16117, 274, F16, 64) (dual of [274, 157, 65]-code) | [i] | ✔ |