Information on Result #1029642
Linear OOA(2223, 87, F2, 3, 111) (dual of [(87, 3), 38, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(468, 29, F4, 3, 55) (dual of [(29, 3), 19, 56]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,31P) [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,31P) [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(2223, 87, F2, 3, 110) (dual of [(87, 3), 38, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2223, 87, F2, 3, 109) (dual of [(87, 3), 38, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(2224, 87, F2, 3, 111) (dual of [(87, 3), 37, 112]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2222, 86, F2, 3, 110) (dual of [(86, 3), 36, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2223, 43, F2, 6, 111) (dual of [(43, 6), 35, 112]-NRT-code) | [i] | OOA Folding | |