Information on Result #636737
Linear OA(4130, 175, F4, 62) (dual of [175, 45, 63]-code), using concatenation of two codes based on
- linear OA(6420, 35, F64, 20) (dual of [35, 15, 21]-code or 35-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(4130, 175, F4, 61) (dual of [175, 45, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4131, 176, F4, 62) (dual of [176, 45, 63]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4129, 174, F4, 61) (dual of [174, 45, 62]-code) | [i] | Truncation | |
| 4 | Linear OA(4128, 173, F4, 60) (dual of [173, 45, 61]-code) | [i] | ||
| 5 | Linear OOA(4130, 87, F4, 2, 62) (dual of [(87, 2), 44, 63]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4130, 58, F4, 3, 62) (dual of [(58, 3), 44, 63]-NRT-code) | [i] | ||