Information on Result #610011
Linear OA(243, 45, F2, 29) (dual of [45, 2, 30]-code), using repeating each code word 15 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(243, 45, F2, 28) (dual of [45, 2, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(243, 45, F2, 27) (dual of [45, 2, 28]-code) | [i] | ||
| 3 | Linear OA(243, 45, F2, 26) (dual of [45, 2, 27]-code) | [i] | ||
| 4 | Linear OA(242, 44, F2, 28) (dual of [44, 2, 29]-code) | [i] | Truncation | |
| 5 | Linear OA(241, 43, F2, 27) (dual of [43, 2, 28]-code) | [i] | ||
| 6 | Linear OA(239, 41, F2, 25) (dual of [41, 2, 26]-code) | [i] | ||
| 7 | Linear OA(238, 40, F2, 24) (dual of [40, 2, 25]-code) | [i] | ||
| 8 | Linear OA(236, 38, F2, 22) (dual of [38, 2, 23]-code) | [i] | ||
| 9 | Linear OA(235, 37, F2, 21) (dual of [37, 2, 22]-code) | [i] | ||
| 10 | Linear OOA(243, 15, F2, 3, 29) (dual of [(15, 3), 2, 30]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(243, 9, F2, 5, 29) (dual of [(9, 5), 2, 30]-NRT-code) | [i] | ||