Information on Result #913775
Linear OOA(259, 52, F2, 2, 21) (dual of [(52, 2), 45, 22]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(811, 13, F8, 2, 10) (dual of [(13, 2), 15, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-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(259, 52, F2, 2, 20) (dual of [(52, 2), 45, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(260, 52, F2, 2, 21) (dual of [(52, 2), 44, 22]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(259, 26, F2, 4, 21) (dual of [(26, 4), 45, 22]-NRT-code) | [i] | OOA Folding | |