Information on Result #636949
Linear OA(4192, 240, F4, 98) (dual of [240, 48, 99]-code), using concatenation of two codes based on
- linear OA(6432, 48, F64, 32) (dual of [48, 16, 33]-code or 48-arc in PG(31,64)), using
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), using
- Reed–Solomon code RS(32,64) [i]
- discarding factors / shortening the dual code based on linear OA(6432, 64, F64, 32) (dual of [64, 32, 33]-code or 64-arc in PG(31,64)), 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(4192, 240, F4, 97) (dual of [240, 48, 98]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4191, 239, F4, 97) (dual of [239, 48, 98]-code) | [i] | Truncation | |
| 3 | Linear OA(4190, 238, F4, 96) (dual of [238, 48, 97]-code) | [i] | ||
| 4 | Linear OOA(4192, 120, F4, 2, 98) (dual of [(120, 2), 48, 99]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4192, 80, F4, 3, 98) (dual of [(80, 3), 48, 99]-NRT-code) | [i] | ||