Information on Result #629275
Linear OA(253, 75, F2, 21) (dual of [75, 22, 22]-code), using concatenation of two codes based on
- linear OA(414, 25, F4, 10) (dual of [25, 11, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 29, F4, 10) (dual of [29, 15, 11]-code), using
- 1 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 1 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 29, F4, 10) (dual of [29, 15, 11]-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(252, 74, F2, 20) (dual of [74, 22, 21]-code) | [i] | Truncation | |
| 2 | Linear OOA(253, 37, F2, 2, 21) (dual of [(37, 2), 21, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(253, 25, F2, 3, 21) (dual of [(25, 3), 22, 22]-NRT-code) | [i] | ||