Information on Result #636731
Linear OA(4142, 205, F4, 62) (dual of [205, 63, 63]-code), using concatenation of two codes based on
- linear OA(6420, 41, F64, 20) (dual of [41, 21, 21]-code or 41-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
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(4143, 206, F4, 62) (dual of [206, 63, 63]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4140, 203, F4, 60) (dual of [203, 63, 61]-code) | [i] | Truncation | |
| 3 | Linear OOA(4142, 102, F4, 2, 62) (dual of [(102, 2), 62, 63]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4142, 68, F4, 3, 62) (dual of [(68, 3), 62, 63]-NRT-code) | [i] | ||