Information on Result #636892
Linear OA(4188, 245, F4, 92) (dual of [245, 57, 93]-code), using concatenation of two codes based on
- linear OA(6430, 49, F64, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,64)), using
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), using
- Reed–Solomon code RS(34,64) [i]
- discarding factors / shortening the dual code based on linear OA(6430, 64, F64, 30) (dual of [64, 34, 31]-code or 64-arc in PG(29,64)), 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(4189, 246, F4, 92) (dual of [246, 57, 93]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4187, 244, F4, 91) (dual of [244, 57, 92]-code) | [i] | Truncation | |
| 3 | Linear OOA(4188, 122, F4, 2, 92) (dual of [(122, 2), 56, 93]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4188, 81, F4, 3, 92) (dual of [(81, 3), 55, 93]-NRT-code) | [i] | ||