Information on Result #700504
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 = {0,1,3,5,7,11,13,15,21,23,27}, and minimum distance d ≥ |{10,21,32,…,−19}|+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(255, 66, F2, 27) (dual of [66, 11, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(261, 72, F2, 29) (dual of [72, 11, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 3 | Linear OA(275, 86, F2, 35) (dual of [86, 11, 36]-code) | [i] | ✔ | |
| 4 | Linear OOA(254, 21, F2, 3, 27) (dual of [(21, 3), 9, 28]-NRT-code) | [i] | OOA Folding | |