Information on Result #738051
Linear OA(273, 81, F2, 37) (dual of [81, 8, 38]-code), using concatenation of two codes based on
- linear OA(423, 27, F4, 18) (dual of [27, 4, 19]-code), using
- 1 times truncation [i] based on linear OA(424, 28, F4, 19) (dual of [28, 4, 20]-code), using
- 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(272, 80, F2, 36) (dual of [80, 8, 37]-code) | [i] | Truncation | |
| 2 | Linear OOA(273, 40, F2, 2, 37) (dual of [(40, 2), 7, 38]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(273, 27, F2, 3, 37) (dual of [(27, 3), 8, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(273, 16, F2, 5, 37) (dual of [(16, 5), 7, 38]-NRT-code) | [i] | ||