Information on Result #2616728
Linear OOA(2210, 112, F2, 3, 74) (dual of [(112, 3), 126, 75]-NRT-code), using strength reduction based on linear OOA(2210, 112, F2, 3, 75) (dual of [(112, 3), 126, 76]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(842, 28, F8, 3, 37) (dual of [(28, 3), 42, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,46P) [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
- linear OOA(842, 28, F8, 3, 37) (dual of [(28, 3), 42, 38]-NRT-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(2213, 113, F2, 3, 74) (dual of [(113, 3), 126, 75]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2216, 114, F2, 3, 74) (dual of [(114, 3), 126, 75]-NRT-code) | [i] | ||
| 3 | Linear OOA(2211, 112, F2, 3, 74) (dual of [(112, 3), 125, 75]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2212, 112, F2, 3, 74) (dual of [(112, 3), 124, 75]-NRT-code) | [i] | ||
| 5 | Linear OOA(2210, 56, F2, 5, 74) (dual of [(56, 5), 70, 75]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2210, 56, F2, 6, 74) (dual of [(56, 6), 126, 75]-NRT-code) | [i] | ||