Information on Result #636871
Linear OA(4177, 225, F4, 89) (dual of [225, 48, 90]-code), using concatenation of two codes based on
- linear OA(6429, 45, F64, 29) (dual of [45, 16, 30]-code or 45-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), 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(4177, 225, F4, 88) (dual of [225, 48, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4176, 224, F4, 88) (dual of [224, 48, 89]-code) | [i] | Truncation | |
| 3 | Linear OA(4175, 223, F4, 87) (dual of [223, 48, 88]-code) | [i] | ||
| 4 | Linear OOA(4177, 112, F4, 2, 89) (dual of [(112, 2), 47, 90]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4177, 75, F4, 3, 89) (dual of [(75, 3), 48, 90]-NRT-code) | [i] | ||