Information on Result #1075395
Linear OOA(2192, 112, F2, 4, 63) (dual of [(112, 4), 256, 64]-NRT-code), using extracting embedded OOA based on digital (129, 192, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 96, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, 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(2192, 112, F2, 4, 62) (dual of [(112, 4), 256, 63]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2196, 113, F2, 4, 63) (dual of [(113, 4), 256, 64]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(2200, 114, F2, 4, 63) (dual of [(114, 4), 256, 64]-NRT-code) | [i] | ||
4 | Linear OOA(2204, 115, F2, 4, 63) (dual of [(115, 4), 256, 64]-NRT-code) | [i] | ||
5 | Linear OOA(2208, 116, F2, 4, 63) (dual of [(116, 4), 256, 64]-NRT-code) | [i] | ||
6 | Linear OOA(2212, 117, F2, 4, 63) (dual of [(117, 4), 256, 64]-NRT-code) | [i] | ||
7 | Linear OOA(2193, 112, F2, 4, 63) (dual of [(112, 4), 255, 64]-NRT-code) | [i] | OOA Duplication | |
8 | Linear OOA(2195, 112, F2, 4, 63) (dual of [(112, 4), 253, 64]-NRT-code) | [i] | ||
9 | Linear OOA(2192, 56, F2, 7, 63) (dual of [(56, 7), 200, 64]-NRT-code) | [i] | OOA Folding | |
10 | Linear OOA(2192, 56, F2, 8, 63) (dual of [(56, 8), 256, 64]-NRT-code) | [i] |