Information on Result #610570
Linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using repeating each code word 5 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(422, 24, F4, 18) (dual of [24, 2, 19]-code) | [i] | Truncation | |
| 2 | Linear OA(421, 23, F4, 17) (dual of [23, 2, 18]-code) | [i] | ||
| 3 | Linear OA(420, 22, F4, 16) (dual of [22, 2, 17]-code) | [i] | ||
| 4 | Linear OA(4198, 4121, F4, 39) (dual of [4121, 3923, 40]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(4227, 16409, F4, 39) (dual of [16409, 16182, 40]-code) | [i] | ||
| 6 | Linear OA(4256, 65561, F4, 39) (dual of [65561, 65305, 40]-code) | [i] | ||
| 7 | Linear OA(4192, 4121, F4, 38) (dual of [4121, 3929, 39]-code) | [i] | ||
| 8 | Linear OA(4220, 16409, F4, 38) (dual of [16409, 16189, 39]-code) | [i] | ||
| 9 | Linear OA(4248, 65561, F4, 38) (dual of [65561, 65313, 39]-code) | [i] | ||
| 10 | Linear OOA(2146, 75, F2, 2, 99) (dual of [(75, 2), 4, 100]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |