Information on Result #914533
Linear OOA(2256, 164, F2, 2, 99) (dual of [(164, 2), 72, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(858, 41, F8, 2, 49) (dual of [(41, 2), 24, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(858, 45, F8, 2, 49) (dual of [(45, 2), 32, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,40P) [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(858, 45, F8, 2, 49) (dual of [(45, 2), 32, 50]-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(2256, 164, F2, 2, 98) (dual of [(164, 2), 72, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2257, 164, F2, 2, 99) (dual of [(164, 2), 71, 100]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2255, 163, F2, 2, 98) (dual of [(163, 2), 71, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2256, 82, F2, 4, 99) (dual of [(82, 4), 72, 100]-NRT-code) | [i] | OOA Folding | |