Information on Result #1173293
Linear OOA(2138, 66, F2, 8, 54) (dual of [(66, 8), 390, 55]-NRT-code), using extracting embedded OOA based on digital (84, 138, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 69, 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(2138, 66, F2, 8, 53) (dual of [(66, 8), 390, 54]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2138, 66, F2, 8, 52) (dual of [(66, 8), 390, 53]-NRT-code) | [i] | ||
3 | Linear OOA(2138, 66, F2, 8, 51) (dual of [(66, 8), 390, 52]-NRT-code) | [i] | ||
4 | Linear OOA(2146, 67, F2, 8, 54) (dual of [(67, 8), 390, 55]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
5 | Linear OOA(2139, 66, F2, 8, 54) (dual of [(66, 8), 389, 55]-NRT-code) | [i] | OOA Duplication | |
6 | Linear OOA(2141, 66, F2, 8, 54) (dual of [(66, 8), 387, 55]-NRT-code) | [i] | ||
7 | Linear OOA(2143, 66, F2, 8, 54) (dual of [(66, 8), 385, 55]-NRT-code) | [i] | ||
8 | Linear OOA(2145, 66, F2, 8, 54) (dual of [(66, 8), 383, 55]-NRT-code) | [i] | ||
9 | Linear OOA(2166, 71, F2, 8, 54) (dual of [(71, 8), 402, 55]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
10 | Linear OOA(2167, 72, F2, 8, 54) (dual of [(72, 8), 409, 55]-NRT-code) | [i] | ||
11 | Linear OOA(2168, 73, F2, 8, 54) (dual of [(73, 8), 416, 55]-NRT-code) | [i] | ||
12 | Linear OOA(2169, 74, F2, 8, 54) (dual of [(74, 8), 423, 55]-NRT-code) | [i] | ||
13 | Linear OOA(2170, 75, F2, 8, 54) (dual of [(75, 8), 430, 55]-NRT-code) | [i] | ||
14 | Linear OOA(2171, 76, F2, 8, 54) (dual of [(76, 8), 437, 55]-NRT-code) | [i] | ||
15 | Linear OOA(2173, 77, F2, 8, 54) (dual of [(77, 8), 443, 55]-NRT-code) | [i] |