Information on Result #636740
Linear OA(4124, 160, F4, 62) (dual of [160, 36, 63]-code), using concatenation of two codes based on
- linear OA(6420, 32, F64, 20) (dual of [32, 12, 21]-code or 32-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(4124, 160, F4, 61) (dual of [160, 36, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4123, 159, F4, 61) (dual of [159, 36, 62]-code) | [i] | Truncation | |
| 3 | Linear OA(4122, 158, F4, 60) (dual of [158, 36, 61]-code) | [i] | ||
| 4 | Linear OOA(4124, 80, F4, 2, 62) (dual of [(80, 2), 36, 63]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4124, 53, F4, 3, 62) (dual of [(53, 3), 35, 63]-NRT-code) | [i] | ||