Information on Result #914358
Linear OOA(2213, 144, F2, 2, 77) (dual of [(144, 2), 75, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(847, 36, F8, 2, 38) (dual of [(36, 2), 25, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(847, 45, F8, 2, 38) (dual of [(45, 2), 43, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,51P) [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(847, 45, F8, 2, 38) (dual of [(45, 2), 43, 39]-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(2213, 144, F2, 2, 76) (dual of [(144, 2), 75, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2214, 144, F2, 2, 77) (dual of [(144, 2), 74, 78]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2212, 143, F2, 2, 76) (dual of [(143, 2), 74, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2213, 72, F2, 4, 77) (dual of [(72, 4), 75, 78]-NRT-code) | [i] | OOA Folding | |