Information on Result #917407
Linear OOA(4244, 195, F4, 2, 103) (dual of [(195, 2), 146, 104]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1657, 65, F16, 2, 51) (dual of [(65, 2), 73, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,78P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric NRT-code AGe(2;F,78P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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(4244, 195, F4, 2, 102) (dual of [(195, 2), 146, 103]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4246, 196, F4, 2, 103) (dual of [(196, 2), 146, 104]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4248, 197, F4, 2, 103) (dual of [(197, 2), 146, 104]-NRT-code) | [i] | ||
| 4 | Linear OOA(4250, 198, F4, 2, 103) (dual of [(198, 2), 146, 104]-NRT-code) | [i] | ||
| 5 | Linear OOA(4252, 199, F4, 2, 103) (dual of [(199, 2), 146, 104]-NRT-code) | [i] | ||
| 6 | Linear OOA(4245, 195, F4, 2, 103) (dual of [(195, 2), 145, 104]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(4243, 194, F4, 2, 102) (dual of [(194, 2), 145, 103]-NRT-code) | [i] | Truncation for OOAs | |