Information on Result #1110335
Linear OOA(2122, 66, F2, 5, 46) (dual of [(66, 5), 208, 47]-NRT-code), using extracting embedded OOA based on digital (76, 122, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 61, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-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(2122, 66, F2, 5, 45) (dual of [(66, 5), 208, 46]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2122, 66, F2, 5, 44) (dual of [(66, 5), 208, 45]-NRT-code) | [i] | ||
3 | Linear OOA(2127, 67, F2, 5, 46) (dual of [(67, 5), 208, 47]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
4 | Linear OOA(2132, 68, F2, 5, 46) (dual of [(68, 5), 208, 47]-NRT-code) | [i] | ||
5 | Linear OOA(2137, 69, F2, 5, 46) (dual of [(69, 5), 208, 47]-NRT-code) | [i] | ||
6 | Linear OOA(2142, 70, F2, 5, 46) (dual of [(70, 5), 208, 47]-NRT-code) | [i] | ||
7 | Linear OOA(2123, 66, F2, 5, 46) (dual of [(66, 5), 207, 47]-NRT-code) | [i] | OOA Duplication | |
8 | Linear OOA(2125, 66, F2, 5, 46) (dual of [(66, 5), 205, 47]-NRT-code) | [i] | ||
9 | Linear OOA(2146, 71, F2, 5, 46) (dual of [(71, 5), 209, 47]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
10 | Linear OOA(2148, 73, F2, 5, 46) (dual of [(73, 5), 217, 47]-NRT-code) | [i] | ||
11 | Linear OOA(2149, 74, F2, 5, 46) (dual of [(74, 5), 221, 47]-NRT-code) | [i] | ||
12 | Linear OOA(2151, 76, F2, 5, 46) (dual of [(76, 5), 229, 47]-NRT-code) | [i] |