Information on Result #941878
Linear OOA(4240, 123, F4, 2, 189) (dual of [(123, 2), 6, 190]-NRT-code), using juxtaposition based on
- linear OOA(410, 8, F4, 2, 9) (dual of [(8, 2), 6, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(410, 9, F4, 2, 9) (dual of [(9, 2), 8, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,8P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(2;F,8P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(410, 9, F4, 2, 9) (dual of [(9, 2), 8, 10]-NRT-code), using
- linear OOA(4224, 115, F4, 2, 179) (dual of [(115, 2), 6, 180]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1620, 23, F16, 19) (dual of [23, 3, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(1620, 24, F16, 19) (dual of [24, 4, 20]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1620, 24, F16, 19) (dual of [24, 4, 20]-code), using
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,4) [i]
- linear OA(1620, 23, F16, 19) (dual of [23, 3, 20]-code), using
- concatenation of two NRT-codes [i] based on
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(4240, 123, F4, 2, 188) (dual of [(123, 2), 6, 189]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4240, 123, F4, 2, 187) (dual of [(123, 2), 6, 188]-NRT-code) | [i] | ||
| 3 | Linear OOA(4240, 123, F4, 2, 186) (dual of [(123, 2), 6, 187]-NRT-code) | [i] | ||
| 4 | Linear OOA(4240, 123, F4, 2, 185) (dual of [(123, 2), 6, 186]-NRT-code) | [i] | ||