Information on Result #629281
Linear OA(256, 78, F2, 23) (dual of [78, 22, 24]-code), using concatenation of two codes based on
- linear OA(415, 26, F4, 11) (dual of [26, 11, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- discarding factors / shortening the dual code based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-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(255, 77, F2, 22) (dual of [77, 22, 23]-code) | [i] | Truncation | |
| 2 | Linear OOA(256, 39, F2, 2, 23) (dual of [(39, 2), 22, 24]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(256, 26, F2, 3, 23) (dual of [(26, 3), 22, 24]-NRT-code) | [i] | ||