Information on Result #700543
Linear OA(246, 63, F2, 21) (dual of [63, 17, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 22
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2166, 180, F2, 65) (dual of [180, 14, 66]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2164, 177, F2, 65) (dual of [177, 13, 66]-code) | [i] | ||
| 3 | Linear OA(2162, 174, F2, 65) (dual of [174, 12, 66]-code) | [i] | ||
| 4 | Linear OA(2160, 171, F2, 65) (dual of [171, 11, 66]-code) | [i] | ||
| 5 | Linear OA(2158, 168, F2, 65) (dual of [168, 10, 66]-code) | [i] | ||
| 6 | Linear OA(2156, 165, F2, 65) (dual of [165, 9, 66]-code) | [i] | ||
| 7 | Linear OA(2254, 317, F2, 84) (dual of [317, 63, 85]-code) | [i] | Construction X with Cyclic Codes | |
| 8 | Linear OA(260, 77, F2, 27) (dual of [77, 17, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 9 | Linear OA(256, 73, F2, 25) (dual of [73, 17, 26]-code) | [i] | ✔ | |
| 10 | Linear OOA(246, 21, F2, 3, 21) (dual of [(21, 3), 17, 22]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(246, 12, F2, 5, 21) (dual of [(12, 5), 14, 22]-NRT-code) | [i] | ||