Information on Result #917280
Linear OOA(4188, 123, F4, 2, 99) (dual of [(123, 2), 58, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1653, 41, F16, 2, 49) (dual of [(41, 2), 29, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1653, 45, F16, 2, 49) (dual of [(45, 2), 37, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,40P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OOA(1653, 45, F16, 2, 49) (dual of [(45, 2), 37, 50]-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(4188, 123, F4, 2, 98) (dual of [(123, 2), 58, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4189, 123, F4, 2, 99) (dual of [(123, 2), 57, 100]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4187, 122, F4, 2, 98) (dual of [(122, 2), 57, 99]-NRT-code) | [i] | Truncation for OOAs | |