Information on Result #637142
Linear OA(4250, 325, F4, 122) (dual of [325, 75, 123]-code), using concatenation of two codes based on
- linear OA(6440, 65, F64, 40) (dual of [65, 25, 41]-code or 65-arc in PG(39,64)), using
- extended Reed–Solomon code RSe(25,64) [i]
- 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4250, 325, F4, 121) (dual of [325, 75, 122]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4250, 325, F4, 120) (dual of [325, 75, 121]-code) | [i] | ||
| 3 | Linear OA(4251, 326, F4, 122) (dual of [326, 75, 123]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4252, 327, F4, 122) (dual of [327, 75, 123]-code) | [i] | ||
| 5 | Linear OA(4253, 328, F4, 122) (dual of [328, 75, 123]-code) | [i] | ||
| 6 | Linear OA(4256, 331, F4, 122) (dual of [331, 75, 123]-code) | [i] | ||
| 7 | Linear OA(4249, 324, F4, 121) (dual of [324, 75, 122]-code) | [i] | Truncation | |
| 8 | Linear OA(4248, 323, F4, 120) (dual of [323, 75, 121]-code) | [i] | ||
| 9 | Linear OOA(4250, 162, F4, 2, 122) (dual of [(162, 2), 74, 123]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4250, 108, F4, 3, 122) (dual of [(108, 3), 74, 123]-NRT-code) | [i] | ||