Information on Result #629269
Linear OA(251, 75, F2, 19) (dual of [75, 24, 20]-code), using concatenation of two codes based on
- linear OA(413, 25, F4, 9) (dual of [25, 12, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 28, F4, 9) (dual of [28, 15, 10]-code), using
- 2 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]
- 2 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(413, 28, F4, 9) (dual of [28, 15, 10]-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(250, 74, F2, 18) (dual of [74, 24, 19]-code) | [i] | Truncation | |
| 2 | Linear OOA(251, 37, F2, 2, 19) (dual of [(37, 2), 23, 20]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(251, 25, F2, 3, 19) (dual of [(25, 3), 24, 20]-NRT-code) | [i] | ||