Information on Result #627736
Linear OA(432, 90, F4, 12) (dual of [90, 58, 13]-code), using trace code based on linear OA(1616, 45, F16, 12) (dual of [45, 29, 13]-code), using
- extended algebraic-geometric code AGe(F,32P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(433, 91, F4, 12) (dual of [91, 58, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4249, 4187, F4, 48) (dual of [4187, 3938, 49]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(4255, 4186, F4, 50) (dual of [4186, 3931, 51]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(4243, 4186, F4, 47) (dual of [4186, 3943, 48]-code) | [i] | ||
| 5 | Linear OA(4237, 4186, F4, 46) (dual of [4186, 3949, 47]-code) | [i] | ||
| 6 | Linear OA(4253, 1106, F4, 59) (dual of [1106, 853, 60]-code) | [i] | ||
| 7 | Linear OA(4248, 1106, F4, 58) (dual of [1106, 858, 59]-code) | [i] | ||
| 8 | Linear OA(4238, 1106, F4, 55) (dual of [1106, 868, 56]-code) | [i] | ||
| 9 | Linear OA(4233, 1106, F4, 54) (dual of [1106, 873, 55]-code) | [i] | ||
| 10 | Linear OOA(432, 45, F4, 2, 12) (dual of [(45, 2), 58, 13]-NRT-code) | [i] | OOA Folding | |