Information on Result #662177
Linear OA(425, 30, F4, 17) (dual of [30, 5, 18]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(46, 10, F4, 5) (dual of [10, 4, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- linear OA(49, 10, F4, 8) (dual of [10, 1, 9]-code), using
- strength reduction [i] based on linear OA(49, 10, F4, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,4)), using
- dual of repetition code with length 10 [i]
- strength reduction [i] based on linear OA(49, 10, F4, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,4)), using
- linear OA(410, 10, F4, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,4)), 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(4208, 16415, F4, 35) (dual of [16415, 16207, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4234, 65567, F4, 35) (dual of [65567, 65333, 36]-code) | [i] | ||
| 3 | Linear OA(4260, 262175, F4, 35) (dual of [262175, 261915, 36]-code) | [i] | ||