Information on Result #1029641
Linear OOA(2226, 90, F2, 3, 111) (dual of [(90, 3), 44, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(468, 30, F4, 3, 55) (dual of [(30, 3), 22, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,34P) [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,34P) [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(2226, 90, F2, 3, 110) (dual of [(90, 3), 44, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2226, 90, F2, 3, 109) (dual of [(90, 3), 44, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2226, 90, F2, 3, 108) (dual of [(90, 3), 44, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(2229, 91, F2, 3, 111) (dual of [(91, 3), 44, 112]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2227, 90, F2, 3, 111) (dual of [(90, 3), 43, 112]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2225, 89, F2, 3, 110) (dual of [(89, 3), 42, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2226, 45, F2, 6, 111) (dual of [(45, 6), 44, 112]-NRT-code) | [i] | OOA Folding | |