Information on Result #636787
Linear OA(4162, 225, F4, 74) (dual of [225, 63, 75]-code), using concatenation of two codes based on
- linear OA(6424, 45, F64, 24) (dual of [45, 21, 25]-code or 45-arc in PG(23,64)), using
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), using
- Reed–Solomon code RS(40,64) [i]
- discarding factors / shortening the dual code based on linear OA(6424, 64, F64, 24) (dual of [64, 40, 25]-code or 64-arc in PG(23,64)), 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(4162, 225, F4, 73) (dual of [225, 63, 74]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4163, 226, F4, 74) (dual of [226, 63, 75]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4161, 224, F4, 73) (dual of [224, 63, 74]-code) | [i] | Truncation | |
| 4 | Linear OA(4160, 223, F4, 72) (dual of [223, 63, 73]-code) | [i] | ||
| 5 | Linear OOA(4162, 112, F4, 2, 74) (dual of [(112, 2), 62, 75]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4162, 75, F4, 3, 74) (dual of [(75, 3), 63, 75]-NRT-code) | [i] | ||