Information on Result #914525
Linear OOA(2257, 172, F2, 2, 97) (dual of [(172, 2), 87, 98]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(857, 43, F8, 2, 48) (dual of [(43, 2), 29, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(857, 45, F8, 2, 48) (dual of [(45, 2), 33, 49]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,41P) [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(857, 45, F8, 2, 48) (dual of [(45, 2), 33, 49]-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(2257, 172, F2, 2, 96) (dual of [(172, 2), 87, 97]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2258, 172, F2, 2, 97) (dual of [(172, 2), 86, 98]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2256, 171, F2, 2, 96) (dual of [(171, 2), 86, 97]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2257, 86, F2, 4, 97) (dual of [(86, 4), 87, 98]-NRT-code) | [i] | OOA Folding | |