Information on Result #914433
Linear OOA(2222, 144, F2, 2, 83) (dual of [(144, 2), 66, 84]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(850, 36, F8, 2, 41) (dual of [(36, 2), 22, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(850, 45, F8, 2, 41) (dual of [(45, 2), 40, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,48P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OOA(850, 45, F8, 2, 41) (dual of [(45, 2), 40, 42]-NRT-code), using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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(2222, 144, F2, 2, 82) (dual of [(144, 2), 66, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2223, 144, F2, 2, 83) (dual of [(144, 2), 65, 84]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2221, 143, F2, 2, 82) (dual of [(143, 2), 65, 83]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2222, 72, F2, 4, 83) (dual of [(72, 4), 66, 84]-NRT-code) | [i] | OOA Folding | |