Information on Result #661828
Linear OA(235, 81, F2, 11) (dual of [81, 46, 12]-code), using (u, u+v)-construction based on
- linear OA(211, 33, F2, 5) (dual of [33, 22, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33 | 210−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(224, 48, F2, 11) (dual of [48, 24, 12]-code), using
- extended quadratic residue code Qe(48,2) [i]
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(234, 80, F2, 10) (dual of [80, 46, 11]-code) | [i] | Truncation | |
| 2 | Linear OA(2252, 592, F2, 53) (dual of [592, 340, 54]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 3 | Linear OA(2243, 592, F2, 51) (dual of [592, 349, 52]-code) | [i] | ||
| 4 | Linear OOA(235, 27, F2, 3, 11) (dual of [(27, 3), 46, 12]-NRT-code) | [i] | OOA Folding | |