Information on Result #918090
Linear OOA(4252, 140, F4, 2, 161) (dual of [(140, 2), 28, 162]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1656, 35, F16, 2, 53) (dual of [(35, 2), 14, 54]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1656, 38, F16, 2, 53) (dual of [(38, 2), 20, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,22P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OOA(1656, 38, F16, 2, 53) (dual of [(38, 2), 20, 54]-NRT-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4252, 140, F4, 2, 160) (dual of [(140, 2), 28, 161]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4251, 139, F4, 2, 160) (dual of [(139, 2), 27, 161]-NRT-code) | [i] | Truncation for OOAs | |