Information on Result #738054
Linear OA(2116, 126, F2, 57) (dual of [126, 10, 58]-code), using concatenation of two codes based on
- linear OA(437, 42, F4, 28) (dual of [42, 5, 29]-code), using
- 1 times truncation [i] based on linear OA(438, 43, F4, 29) (dual of [43, 5, 30]-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(2115, 125, F2, 56) (dual of [125, 10, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(2116, 63, F2, 2, 57) (dual of [(63, 2), 10, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2116, 42, F2, 3, 57) (dual of [(42, 3), 10, 58]-NRT-code) | [i] | ||
| 4 | Linear OOA(2116, 25, F2, 5, 57) (dual of [(25, 5), 9, 58]-NRT-code) | [i] | ||