Information on Result #911493
Linear OOA(2104, 72, F2, 2, 41) (dual of [(72, 2), 40, 42]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(22, 3, F2, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,2) [i]
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(2104, 72, F2, 2, 40) (dual of [(72, 2), 40, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2106, 73, F2, 2, 41) (dual of [(73, 2), 40, 42]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(2105, 72, F2, 2, 41) (dual of [(72, 2), 39, 42]-NRT-code) | [i] | OOA Duplication | |
4 | Linear OOA(2103, 71, F2, 2, 40) (dual of [(71, 2), 39, 41]-NRT-code) | [i] | Truncation for OOAs | |
5 | Linear OOA(2104, 36, F2, 4, 41) (dual of [(36, 4), 40, 42]-NRT-code) | [i] | OOA Folding |