Information on Result #1029613
Linear OOA(2213, 87, F2, 3, 101) (dual of [(87, 3), 48, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(463, 29, F4, 3, 50) (dual of [(29, 3), 24, 51]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,36P) [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]
- algebraic-geometric NRT-code AG(3;F,36P) [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(2213, 87, F2, 3, 100) (dual of [(87, 3), 48, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2213, 87, F2, 3, 99) (dual of [(87, 3), 48, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(2214, 87, F2, 3, 101) (dual of [(87, 3), 47, 102]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2212, 86, F2, 3, 100) (dual of [(86, 3), 46, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2213, 43, F2, 6, 101) (dual of [(43, 6), 45, 102]-NRT-code) | [i] | OOA Folding | |