Information on Result #621922
Linear OA(2129, 144, F2, 60) (dual of [144, 15, 61]-code), using construction X applied to C3 ⊂ D2 based on
- linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 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(29, 17, F2, 5) (dual of [17, 8, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), using
- extended quadratic residue code Qe(18,2) [i]
- discarding factors / shortening the dual code based on linear OA(29, 18, F2, 5) (dual of [18, 9, 6]-code), 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(2129, 144, F2, 59) (dual of [144, 15, 60]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2129, 144, F2, 58) (dual of [144, 15, 59]-code) | [i] | ||
| 3 | Linear OA(2130, 145, F2, 61) (dual of [145, 15, 62]-code) | [i] | Adding a Parity Check Bit | |
| 4 | Linear OOA(2129, 72, F2, 2, 60) (dual of [(72, 2), 15, 61]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2129, 48, F2, 3, 60) (dual of [(48, 3), 15, 61]-NRT-code) | [i] | ||