Information on Result #621841
Linear OA(2120, 135, F2, 56) (dual of [135, 15, 57]-code), using construction X applied to D3 ⊂ D2 based on
- linear OA(2119, 127, F2, 58) (dual of [127, 8, 59]-code), using augmented code D3 for u = 7 by de Boer and Brouwer [i]
- linear OA(2112, 127, F2, 54) (dual of [127, 15, 55]-code), using augmented code D2 for u = 7 by de Boer and Brouwer [i]
- linear OA(21, 8, F2, 1) (dual of [8, 7, 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(2121, 136, F2, 57) (dual of [136, 15, 58]-code) | [i] | Adding a Parity Check Bit | |
| 2 | Linear OOA(2120, 67, F2, 2, 56) (dual of [(67, 2), 14, 57]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2120, 45, F2, 3, 56) (dual of [(45, 3), 15, 57]-NRT-code) | [i] | ||
| 4 | Linear OOA(2120, 27, F2, 5, 56) (dual of [(27, 5), 15, 57]-NRT-code) | [i] | ||