Information on Result #918081
Linear OOA(4244, 136, F4, 2, 155) (dual of [(136, 2), 28, 156]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1654, 34, F16, 2, 51) (dual of [(34, 2), 14, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1654, 38, F16, 2, 51) (dual of [(38, 2), 22, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,24P) [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(1654, 38, F16, 2, 51) (dual of [(38, 2), 22, 52]-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(4244, 136, F4, 2, 154) (dual of [(136, 2), 28, 155]-NRT-code) | [i] | Strength Reduction for OOAs | |