Information on Result #700535
Linear OA(254, 63, F2, 27) (dual of [63, 9, 28]-code), using the primitive cyclic code C(A) with length 63 = 26−1, defining set A = {0,1,3,5,7,9,11,13,15,21,31}, and minimum distance d ≥ |{−4,−3,…,22}|+1 = 28 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Codes by De Boer and Brouwer (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(260, 78, F2, 26) (dual of [78, 18, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(256, 74, F2, 24) (dual of [74, 18, 25]-code) | [i] | ✔ | |
| 3 | Linear OA(267, 90, F2, 25) (dual of [90, 23, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(260, 77, F2, 27) (dual of [77, 17, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(256, 73, F2, 25) (dual of [73, 17, 26]-code) | [i] | ✔ | |
| 6 | Linear OOA(254, 21, F2, 3, 27) (dual of [(21, 3), 9, 28]-NRT-code) | [i] | OOA Folding | |