Information on Result #1029579
Linear OOA(2199, 81, F2, 3, 99) (dual of [(81, 3), 44, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(459, 27, F4, 3, 49) (dual of [(27, 3), 22, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,31P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, 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(2199, 81, F2, 3, 98) (dual of [(81, 3), 44, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2199, 81, F2, 3, 97) (dual of [(81, 3), 44, 98]-NRT-code) | [i] | ||
| 3 | Linear OOA(2199, 81, F2, 3, 96) (dual of [(81, 3), 44, 97]-NRT-code) | [i] | ||
| 4 | Linear OOA(2202, 82, F2, 3, 99) (dual of [(82, 3), 44, 100]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2205, 83, F2, 3, 99) (dual of [(83, 3), 44, 100]-NRT-code) | [i] | ||
| 6 | Linear OOA(2200, 81, F2, 3, 99) (dual of [(81, 3), 43, 100]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2198, 80, F2, 3, 98) (dual of [(80, 3), 42, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2199, 40, F2, 6, 99) (dual of [(40, 6), 41, 100]-NRT-code) | [i] | OOA Folding | |