Information on Result #2444362
Linear OOA(4226, 120, F4, 2, 161) (dual of [(120, 2), 14, 162]-NRT-code), using strength reduction based on linear OOA(4226, 120, F4, 2, 163) (dual of [(120, 2), 14, 164]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(1641, 24, F16, 2, 40) (dual of [(24, 2), 7, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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]
- linear OOA(1641, 24, F16, 2, 40) (dual of [(24, 2), 7, 41]-NRT-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4227, 120, F4, 2, 161) (dual of [(120, 2), 13, 162]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4225, 119, F4, 2, 160) (dual of [(119, 2), 13, 161]-NRT-code) | [i] | Truncation for OOAs | |