Information on Result #913686
Linear OOA(270, 42, F2, 2, 37) (dual of [(42, 2), 14, 38]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(421, 14, F4, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(270, 42, F2, 2, 36) (dual of [(42, 2), 14, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(272, 43, F2, 2, 37) (dual of [(43, 2), 14, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(271, 42, F2, 2, 37) (dual of [(42, 2), 13, 38]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(269, 41, F2, 2, 36) (dual of [(41, 2), 13, 37]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2147, 78, F2, 2, 74) (dual of [(78, 2), 9, 75]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2147, 78, F2, 2, 75) (dual of [(78, 2), 9, 76]-NRT-code) | [i] | ||
| 7 | Linear OOA(270, 21, F2, 4, 37) (dual of [(21, 4), 14, 38]-NRT-code) | [i] | OOA Folding | |