Information on Result #738056
Linear OA(2134, 144, F2, 65) (dual of [144, 10, 66]-code), using concatenation of two codes based on
- linear OA(443, 48, F4, 32) (dual of [48, 5, 33]-code), using
- 3 times truncation [i] based on linear OA(446, 51, F4, 35) (dual of [51, 5, 36]-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(2133, 143, F2, 64) (dual of [143, 10, 65]-code) | [i] | Truncation | |
| 2 | Linear OOA(2134, 72, F2, 2, 65) (dual of [(72, 2), 10, 66]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2134, 48, F2, 3, 65) (dual of [(48, 3), 10, 66]-NRT-code) | [i] | ||