Information on Result #610015
Linear OA(231, 33, F2, 21) (dual of [33, 2, 22]-code), using repeating each code word 11 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(231, 33, F2, 20) (dual of [33, 2, 21]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(231, 33, F2, 19) (dual of [33, 2, 20]-code) | [i] | ||
| 3 | Linear OA(230, 32, F2, 20) (dual of [32, 2, 21]-code) | [i] | Truncation | |
| 4 | Linear OA(229, 31, F2, 19) (dual of [31, 2, 20]-code) | [i] | ||
| 5 | Linear OA(227, 29, F2, 17) (dual of [29, 2, 18]-code) | [i] | ||
| 6 | Linear OA(226, 28, F2, 16) (dual of [28, 2, 17]-code) | [i] | ||
| 7 | Linear OA(2240, 289, F2, 85) (dual of [289, 49, 86]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 8 | Linear OOA(231, 11, F2, 3, 21) (dual of [(11, 3), 2, 22]-NRT-code) | [i] | OOA Folding | |