Information on Result #1029956
Linear OOA(2222, 112, F2, 3, 83) (dual of [(112, 3), 114, 84]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(846, 28, F8, 3, 41) (dual of [(28, 3), 38, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,42P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, 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(2222, 112, F2, 3, 82) (dual of [(112, 3), 114, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2225, 113, F2, 3, 83) (dual of [(113, 3), 114, 84]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2228, 114, F2, 3, 83) (dual of [(114, 3), 114, 84]-NRT-code) | [i] | ||
| 4 | Linear OOA(2223, 112, F2, 3, 83) (dual of [(112, 3), 113, 84]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2224, 112, F2, 3, 83) (dual of [(112, 3), 112, 84]-NRT-code) | [i] | ||
| 6 | Linear OOA(2221, 111, F2, 3, 82) (dual of [(111, 3), 112, 83]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2222, 56, F2, 5, 83) (dual of [(56, 5), 58, 84]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2222, 56, F2, 6, 83) (dual of [(56, 6), 114, 84]-NRT-code) | [i] | ||