Information on Result #636819
Linear OA(4168, 225, F4, 80) (dual of [225, 57, 81]-code), using concatenation of two codes based on
- linear OA(6426, 45, F64, 26) (dual of [45, 19, 27]-code or 45-arc in PG(25,64)), using
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- Reed–Solomon code RS(38,64) [i]
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), 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(4168, 225, F4, 79) (dual of [225, 57, 80]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4169, 226, F4, 80) (dual of [226, 57, 81]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4167, 224, F4, 79) (dual of [224, 57, 80]-code) | [i] | Truncation | |
| 4 | Linear OA(4166, 223, F4, 78) (dual of [223, 57, 79]-code) | [i] | ||
| 5 | Linear OOA(4168, 112, F4, 2, 80) (dual of [(112, 2), 56, 81]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4168, 75, F4, 3, 80) (dual of [(75, 3), 57, 81]-NRT-code) | [i] | ||