Information on Result #913838
Linear OOA(291, 68, F2, 2, 35) (dual of [(68, 2), 45, 36]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(819, 17, F8, 2, 17) (dual of [(17, 2), 15, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,16P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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(291, 68, F2, 2, 34) (dual of [(68, 2), 45, 35]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(293, 69, F2, 2, 35) (dual of [(69, 2), 45, 36]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(295, 70, F2, 2, 35) (dual of [(70, 2), 45, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(292, 68, F2, 2, 35) (dual of [(68, 2), 44, 36]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(290, 67, F2, 2, 34) (dual of [(67, 2), 44, 35]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(291, 34, F2, 4, 35) (dual of [(34, 4), 45, 36]-NRT-code) | [i] | OOA Folding | |