Information on Result #702178
Linear OA(2234, 511, F2, 56) (dual of [511, 277, 57]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57
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(2258, 580, F2, 56) (dual of [580, 322, 57]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(2246, 550, F2, 56) (dual of [550, 304, 57]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2249, 535, F2, 59) (dual of [535, 286, 60]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(2246, 532, F2, 58) (dual of [532, 286, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(2260, 546, F2, 60) (dual of [546, 286, 61]-code) | [i] | ✔ | |
| 6 | Linear OA(2258, 535, F2, 61) (dual of [535, 277, 62]-code) | [i] | ✔ | |
| 7 | Linear OA(2255, 532, F2, 60) (dual of [532, 277, 61]-code) | [i] | ✔ | |
| 8 | Linear OOA(2234, 255, F2, 2, 56) (dual of [(255, 2), 276, 57]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2234, 170, F2, 3, 56) (dual of [(170, 3), 276, 57]-NRT-code) | [i] | ||