Information on Result #2423319
Linear OOA(2188, 110, F2, 2, 82) (dual of [(110, 2), 32, 83]-NRT-code), using strength reduction based on linear OOA(2188, 110, F2, 2, 83) (dual of [(110, 2), 32, 84]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1614, 22, F16, 13) (dual of [22, 8, 14]-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1614, 22, F16, 13) (dual of [22, 8, 14]-code), 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(2190, 111, F2, 2, 82) (dual of [(111, 2), 32, 83]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2189, 110, F2, 2, 82) (dual of [(110, 2), 31, 83]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2187, 109, F2, 2, 81) (dual of [(109, 2), 31, 82]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2186, 109, F2, 2, 80) (dual of [(109, 2), 32, 81]-NRT-code) | [i] | ||
| 5 | Linear OOA(2188, 55, F2, 4, 82) (dual of [(55, 4), 32, 83]-NRT-code) | [i] | OOA Folding | |