Information on Result #610016
Linear OA(228, 30, F2, 19) (dual of [30, 2, 20]-code), using repeating each code word 10 times based on 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(228, 30, F2, 18) (dual of [30, 2, 19]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(228, 30, F2, 17) (dual of [30, 2, 18]-code) | [i] | ||
| 3 | Linear OA(227, 29, F2, 18) (dual of [29, 2, 19]-code) | [i] | Truncation | |
| 4 | Linear OA(226, 28, F2, 17) (dual of [28, 2, 18]-code) | [i] | ||
| 5 | Linear OA(224, 26, F2, 15) (dual of [26, 2, 16]-code) | [i] | ||
| 6 | Linear OA(223, 25, F2, 14) (dual of [25, 2, 15]-code) | [i] | ||
| 7 | Linear OOA(228, 15, F2, 2, 19) (dual of [(15, 2), 2, 20]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(228, 10, F2, 3, 19) (dual of [(10, 3), 2, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(228, 6, F2, 5, 19) (dual of [(6, 5), 2, 20]-NRT-code) | [i] | ||