Information on Result #914257
Linear OOA(2198, 132, F2, 2, 75) (dual of [(132, 2), 66, 76]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(844, 33, F8, 2, 37) (dual of [(33, 2), 22, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(844, 34, F8, 2, 37) (dual of [(34, 2), 24, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,30P) [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- discarding factors / shortening the dual code based on linear OOA(844, 34, F8, 2, 37) (dual of [(34, 2), 24, 38]-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(2198, 132, F2, 2, 74) (dual of [(132, 2), 66, 75]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2199, 132, F2, 2, 75) (dual of [(132, 2), 65, 76]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2197, 131, F2, 2, 74) (dual of [(131, 2), 65, 75]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2198, 66, F2, 4, 75) (dual of [(66, 4), 66, 76]-NRT-code) | [i] | OOA Folding | |