Information on Result #1029298
Linear OOA(2113, 51, F2, 3, 53) (dual of [(51, 3), 40, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(431, 17, F4, 3, 26) (dual of [(17, 3), 20, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, 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(2113, 51, F2, 3, 52) (dual of [(51, 3), 40, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2113, 51, F2, 3, 51) (dual of [(51, 3), 40, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(2113, 51, F2, 3, 50) (dual of [(51, 3), 40, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2116, 52, F2, 3, 53) (dual of [(52, 3), 40, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2119, 53, F2, 3, 53) (dual of [(53, 3), 40, 54]-NRT-code) | [i] | ||
| 6 | Linear OOA(2114, 51, F2, 3, 53) (dual of [(51, 3), 39, 54]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2112, 50, F2, 3, 52) (dual of [(50, 3), 38, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(2113, 25, F2, 6, 53) (dual of [(25, 6), 37, 54]-NRT-code) | [i] | OOA Folding | |