Information on Result #917662
Linear OOA(4242, 165, F4, 2, 121) (dual of [(165, 2), 88, 122]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1666, 55, F16, 2, 60) (dual of [(55, 2), 44, 61]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1666, 64, F16, 2, 60) (dual of [(64, 2), 62, 61]-NRT-code), using
- algebraic-geometric NRT-code AG(2;F,67P) [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,67P) [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(1666, 64, F16, 2, 60) (dual of [(64, 2), 62, 61]-NRT-code), using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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(4242, 165, F4, 2, 120) (dual of [(165, 2), 88, 121]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4243, 165, F4, 2, 121) (dual of [(165, 2), 87, 122]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4241, 164, F4, 2, 120) (dual of [(164, 2), 87, 121]-NRT-code) | [i] | Truncation for OOAs | |