Information on Result #738438
Linear OA(429, 90, F4, 11) (dual of [90, 61, 12]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(45, 30, F4, 3) (dual of [30, 25, 4]-code or 30-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- linear OA(49, 30, F4, 5) (dual of [30, 21, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [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(4254, 16474, F4, 43) (dual of [16474, 16220, 44]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 2 | Linear OA(4247, 16474, F4, 42) (dual of [16474, 16227, 43]-code) | [i] | ||
| 3 | Linear OA(4240, 16474, F4, 41) (dual of [16474, 16234, 42]-code) | [i] | ||
| 4 | Linear OOA(429, 45, F4, 2, 11) (dual of [(45, 2), 61, 12]-NRT-code) | [i] | OOA Folding | |