Information on Result #700506
Linear OA(257, 63, F2, 31) (dual of [63, 6, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 32
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2246, 252, F2, 127) (dual of [252, 6, 128]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2183, 189, F2, 95) (dual of [189, 6, 96]-code) | [i] | ||
| 3 | Linear OA(261, 72, F2, 29) (dual of [72, 11, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 4 | Linear OOA(257, 21, F2, 3, 31) (dual of [(21, 3), 6, 32]-NRT-code) | [i] | OOA Folding | |