Information on Result #636918
Linear OA(4193, 250, F4, 95) (dual of [250, 57, 96]-code), using concatenation of two codes based on
- linear OA(6431, 50, F64, 31) (dual of [50, 19, 32]-code or 50-arc in PG(30,64)), using
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
- Reed–Solomon code RS(33,64) [i]
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), 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(4194, 251, F4, 95) (dual of [251, 57, 96]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4193, 125, F4, 2, 95) (dual of [(125, 2), 57, 96]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4193, 83, F4, 3, 95) (dual of [(83, 3), 56, 96]-NRT-code) | [i] | ||