Information on Result #702643
Linear OA(2217, 511, F2, 53) (dual of [511, 294, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2228, 531, F2, 55) (dual of [531, 303, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2242, 545, F2, 57) (dual of [545, 303, 58]-code) | [i] | ✔ | |
| 3 | Linear OA(2241, 537, F2, 57) (dual of [537, 296, 58]-code) | [i] | ✔ | |
| 4 | Linear OA(2256, 557, F2, 58) (dual of [557, 301, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(2256, 554, F2, 59) (dual of [554, 298, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(2237, 531, F2, 57) (dual of [531, 294, 58]-code) | [i] | ✔ | |
| 7 | Linear OA(2251, 545, F2, 59) (dual of [545, 294, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(2250, 537, F2, 59) (dual of [537, 287, 60]-code) | [i] | ✔ | |
| 9 | Linear OOA(2217, 170, F2, 3, 53) (dual of [(170, 3), 293, 54]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2217, 102, F2, 5, 53) (dual of [(102, 5), 293, 54]-NRT-code) | [i] | ||