Information on Result #1029567
Linear OOA(2204, 90, F2, 3, 89) (dual of [(90, 3), 66, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(457, 30, F4, 3, 44) (dual of [(30, 3), 33, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,45P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- F4 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,45P) [i] based on function field F/F4 with g(F) = 13 and N(F) ≥ 30, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2204, 90, F2, 3, 88) (dual of [(90, 3), 66, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2204, 90, F2, 3, 87) (dual of [(90, 3), 66, 88]-NRT-code) | [i] | ||
| 3 | Linear OOA(2204, 90, F2, 3, 86) (dual of [(90, 3), 66, 87]-NRT-code) | [i] | ||
| 4 | Linear OOA(2207, 91, F2, 3, 89) (dual of [(91, 3), 66, 90]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2203, 89, F2, 3, 88) (dual of [(89, 3), 64, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2204, 45, F2, 5, 89) (dual of [(45, 5), 21, 90]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2204, 45, F2, 6, 89) (dual of [(45, 6), 66, 90]-NRT-code) | [i] | ||