Information on Result #635001
Linear OA(4145, 165, F4, 87) (dual of [165, 20, 88]-code), using concatenation of two codes based on
- linear OA(1623, 33, F16, 21) (dual of [33, 10, 22]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- 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(4145, 165, F4, 86) (dual of [165, 20, 87]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4146, 166, F4, 87) (dual of [166, 20, 88]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4144, 164, F4, 86) (dual of [164, 20, 87]-code) | [i] | Truncation | |
| 4 | Linear OA(4143, 163, F4, 85) (dual of [163, 20, 86]-code) | [i] | ||
| 5 | Linear OA(4142, 162, F4, 84) (dual of [162, 20, 85]-code) | [i] | ||
| 6 | Linear OOA(4145, 82, F4, 2, 87) (dual of [(82, 2), 19, 88]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4145, 55, F4, 3, 87) (dual of [(55, 3), 20, 88]-NRT-code) | [i] | ||