Information on Result #673916
Linear OA(2169, 255, F2, 53) (dual of [255, 86, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 28−1, 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.
Compare with Markus Grassl’s online database of code parameters.
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(2196, 278, F2, 60) (dual of [278, 82, 61]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2199, 282, F2, 60) (dual of [282, 83, 61]-code) | [i] | ✔ | |
| 3 | Linear OA(2200, 286, F2, 60) (dual of [286, 86, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(2198, 282, F2, 60) (dual of [282, 84, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(2199, 285, F2, 60) (dual of [285, 86, 61]-code) | [i] | ✔ | |
| 6 | Linear OA(2179, 269, F2, 55) (dual of [269, 90, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(2192, 282, F2, 57) (dual of [282, 90, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(2187, 273, F2, 57) (dual of [273, 86, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(2195, 274, F2, 60) (dual of [274, 79, 61]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 10 | Linear OOA(2169, 85, F2, 3, 53) (dual of [(85, 3), 86, 54]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2169, 51, F2, 5, 53) (dual of [(51, 5), 86, 54]-NRT-code) | [i] | ||