Information on Result #610566
Linear OA(443, 45, F4, 35) (dual of [45, 2, 36]-code), using repeating each code word 9 times based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(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(443, 45, F4, 34) (dual of [45, 2, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(442, 44, F4, 34) (dual of [44, 2, 35]-code) | [i] | Truncation | |
| 3 | Linear OA(441, 43, F4, 33) (dual of [43, 2, 34]-code) | [i] | ||
| 4 | Linear OA(440, 42, F4, 32) (dual of [42, 2, 33]-code) | [i] | ||
| 5 | Linear OOA(443, 15, F4, 3, 35) (dual of [(15, 3), 2, 36]-NRT-code) | [i] | OOA Folding | |