Information on Result #637173
Linear OA(4256, 325, F4, 128) (dual of [325, 69, 129]-code), using concatenation of two codes based on
- linear OA(6442, 65, F64, 42) (dual of [65, 23, 43]-code or 65-arc in PG(41,64)), using
- extended Reed–Solomon code RSe(23,64) [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(4256, 325, F4, 127) (dual of [325, 69, 128]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4256, 325, F4, 126) (dual of [325, 69, 127]-code) | [i] | ||
| 3 | Linear OA(4257, 326, F4, 128) (dual of [326, 69, 129]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4258, 327, F4, 128) (dual of [327, 69, 129]-code) | [i] | ||
| 5 | Linear OA(4259, 328, F4, 128) (dual of [328, 69, 129]-code) | [i] | ||
| 6 | Linear OA(4260, 329, F4, 128) (dual of [329, 69, 129]-code) | [i] | ||
| 7 | Linear OA(4255, 324, F4, 127) (dual of [324, 69, 128]-code) | [i] | Truncation | |
| 8 | Linear OA(4254, 323, F4, 126) (dual of [323, 69, 127]-code) | [i] | ||
| 9 | Linear OOA(4256, 162, F4, 2, 128) (dual of [(162, 2), 68, 129]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4256, 108, F4, 3, 128) (dual of [(108, 3), 68, 129]-NRT-code) | [i] | ||