Information on Result #662158
Linear OA(452, 80, F4, 23) (dual of [80, 28, 24]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- linear OA(415, 27, F4, 11) (dual of [27, 12, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code) (see above)
- linear OA(426, 27, F4, 23) (dual of [27, 1, 24]-code), using
- strength reduction [i] based on linear OA(426, 27, F4, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,4)), using
- dual of repetition code with length 27 [i]
- strength reduction [i] based on linear OA(426, 27, F4, 26) (dual of [27, 1, 27]-code or 27-arc in PG(25,4)), using
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(4130, 156, F4, 47) (dual of [156, 26, 48]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4129, 154, F4, 47) (dual of [154, 25, 48]-code) | [i] | ||
| 3 | Linear OA(4128, 152, F4, 47) (dual of [152, 24, 48]-code) | [i] | ||