Information on Result #738513
Linear OA(2133, 162, F2, 53) (dual of [162, 29, 54]-code), using extended or lengthened subfield codes of Reed–Solomon codes
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(2133, 162, F2, 52) (dual of [162, 29, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2133, 162, F2, 51) (dual of [162, 29, 52]-code) | [i] | ||
| 3 | Linear OA(2133, 162, F2, 50) (dual of [162, 29, 51]-code) | [i] | ||
| 4 | Linear OA(2133, 162, F2, 49) (dual of [162, 29, 50]-code) | [i] | ||
| 5 | Linear OA(2138, 167, F2, 53) (dual of [167, 29, 54]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(2139, 168, F2, 53) (dual of [168, 29, 54]-code) | [i] | ||
| 7 | Linear OA(2140, 169, F2, 53) (dual of [169, 29, 54]-code) | [i] | ||
| 8 | Linear OA(2132, 161, F2, 52) (dual of [161, 29, 53]-code) | [i] | Truncation | |
| 9 | Linear OA(2131, 160, F2, 51) (dual of [160, 29, 52]-code) | [i] | ||
| 10 | Linear OA(2130, 159, F2, 50) (dual of [159, 29, 51]-code) | [i] | ||
| 11 | Linear OA(2128, 157, F2, 48) (dual of [157, 29, 49]-code) | [i] | ||
| 12 | Linear OOA(2133, 81, F2, 2, 53) (dual of [(81, 2), 29, 54]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2133, 54, F2, 3, 53) (dual of [(54, 3), 29, 54]-NRT-code) | [i] | ||