Information on Result #1086973
Linear OOA(2222, 57, F2, 4, 163) (dual of [(57, 4), 6, 164]-NRT-code), using juxtaposition based on
- linear OOA(218, 6, F2, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,7P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2198, 51, F2, 4, 146) (dual of [(51, 4), 6, 147]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(218, 6, F2, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code) (see above)
- linear OOA(2174, 45, F2, 4, 129) (dual of [(45, 4), 6, 130]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(230, 9, F2, 4, 25) (dual of [(9, 4), 6, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,10P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, using
- repeating each code word 5 times [i] based on linear OOA(230, 9, F2, 4, 25) (dual of [(9, 4), 6, 26]-NRT-code), using
- juxtaposition [i] based on
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(2222, 57, F2, 4, 162) (dual of [(57, 4), 6, 163]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2222, 57, F2, 4, 161) (dual of [(57, 4), 6, 162]-NRT-code) | [i] | ||
3 | Linear OOA(2222, 57, F2, 4, 160) (dual of [(57, 4), 6, 161]-NRT-code) | [i] | ||
4 | Linear OOA(2222, 57, F2, 4, 159) (dual of [(57, 4), 6, 160]-NRT-code) | [i] | ||
5 | Linear OOA(2222, 57, F2, 4, 158) (dual of [(57, 4), 6, 159]-NRT-code) | [i] | ||
6 | Linear OOA(2222, 57, F2, 4, 157) (dual of [(57, 4), 6, 158]-NRT-code) | [i] |