Information on Result #610012
Linear OA(240, 42, F2, 27) (dual of [42, 2, 28]-code), using repeating each code word 14 times based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(240, 42, F2, 26) (dual of [42, 2, 27]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(240, 42, F2, 25) (dual of [42, 2, 26]-code) | [i] | ||
| 3 | Linear OA(240, 42, F2, 24) (dual of [42, 2, 25]-code) | [i] | ||
| 4 | Linear OA(239, 41, F2, 26) (dual of [41, 2, 27]-code) | [i] | Truncation | |
| 5 | Linear OA(238, 40, F2, 25) (dual of [40, 2, 26]-code) | [i] | ||
| 6 | Linear OA(236, 38, F2, 23) (dual of [38, 2, 24]-code) | [i] | ||
| 7 | Linear OA(235, 37, F2, 22) (dual of [37, 2, 23]-code) | [i] | ||
| 8 | Linear OA(233, 35, F2, 20) (dual of [35, 2, 21]-code) | [i] | ||
| 9 | Linear OOA(240, 21, F2, 2, 27) (dual of [(21, 2), 2, 28]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(240, 14, F2, 3, 27) (dual of [(14, 3), 2, 28]-NRT-code) | [i] | ||