Information on Result #700519
Linear OA(225, 63, F2, 9) (dual of [63, 38, 10]-code), using the primitive cyclic code C(A) with length 63 = 26−1, defining set A = {0,1,3,5,31}, and minimum distance d ≥ |{−2,−1,…,6}|+1 = 10 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(227, 78, F2, 8) (dual of [78, 51, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(227, 77, F2, 9) (dual of [77, 50, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(240, 84, F2, 13) (dual of [84, 44, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(2260, 573, F2, 57) (dual of [573, 313, 58]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 5 | Linear OA(2251, 573, F2, 55) (dual of [573, 322, 56]-code) | [i] | ||
| 6 | Linear OA(2242, 573, F2, 53) (dual of [573, 331, 54]-code) | [i] | ||
| 7 | Linear OA(2233, 573, F2, 51) (dual of [573, 340, 52]-code) | [i] | ||
| 8 | Linear OOA(225, 21, F2, 3, 9) (dual of [(21, 3), 38, 10]-NRT-code) | [i] | OOA Folding | |