Information on Result #914941
Linear OOA(2254, 285, F2, 2, 59) (dual of [(285, 2), 316, 60]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1635, 57, F16, 2, 29) (dual of [(57, 2), 79, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1635, 64, F16, 2, 29) (dual of [(64, 2), 93, 30]-NRT-code), using
- algebraic-geometric NRT-code AG(2;F,98P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric NRT-code AG(2;F,98P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OOA(1635, 64, F16, 2, 29) (dual of [(64, 2), 93, 30]-NRT-code), using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2254, 285, F2, 2, 58) (dual of [(285, 2), 316, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2255, 285, F2, 2, 59) (dual of [(285, 2), 315, 60]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2253, 284, F2, 2, 58) (dual of [(284, 2), 315, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2254, 142, F2, 4, 59) (dual of [(142, 4), 314, 60]-NRT-code) | [i] | OOA Folding | |