Information on Result #610007
Linear OA(255, 57, F2, 37) (dual of [57, 2, 38]-code), using repeating each code word 19 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(255, 57, F2, 36) (dual of [57, 2, 37]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(255, 57, F2, 35) (dual of [57, 2, 36]-code) | [i] | ||
| 3 | Linear OA(255, 57, F2, 34) (dual of [57, 2, 35]-code) | [i] | ||
| 4 | Linear OA(255, 57, F2, 33) (dual of [57, 2, 34]-code) | [i] | ||
| 5 | Linear OA(255, 57, F2, 32) (dual of [57, 2, 33]-code) | [i] | ||
| 6 | Linear OA(254, 56, F2, 36) (dual of [56, 2, 37]-code) | [i] | Truncation | |
| 7 | Linear OA(253, 55, F2, 35) (dual of [55, 2, 36]-code) | [i] | ||
| 8 | Linear OA(251, 53, F2, 33) (dual of [53, 2, 34]-code) | [i] | ||
| 9 | Linear OA(250, 52, F2, 32) (dual of [52, 2, 33]-code) | [i] | ||
| 10 | Linear OA(248, 50, F2, 30) (dual of [50, 2, 31]-code) | [i] | ||
| 11 | Linear OA(247, 49, F2, 29) (dual of [49, 2, 30]-code) | [i] | ||
| 12 | Linear OA(245, 47, F2, 27) (dual of [47, 2, 28]-code) | [i] | ||
| 13 | Linear OA(244, 46, F2, 26) (dual of [46, 2, 27]-code) | [i] | ||
| 14 | Linear OOA(255, 19, F2, 3, 37) (dual of [(19, 3), 2, 38]-NRT-code) | [i] | OOA Folding | |