Information on Result #1118135
Linear OOA(3136, 56, F3, 5, 71) (dual of [(56, 5), 144, 72]-NRT-code), using (u, u+v)-construction based on
- linear OOA(350, 28, F3, 5, 35) (dual of [(28, 5), 90, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,104P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(386, 28, F3, 5, 71) (dual of [(28, 5), 54, 72]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,68P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
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(3136, 56, F3, 5, 70) (dual of [(56, 5), 144, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3136, 56, F3, 5, 69) (dual of [(56, 5), 144, 70]-NRT-code) | [i] | ||
3 | Linear OOA(3136, 56, F3, 5, 68) (dual of [(56, 5), 144, 69]-NRT-code) | [i] | ||
4 | Linear OOA(3141, 57, F3, 5, 71) (dual of [(57, 5), 144, 72]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
5 | Linear OOA(3137, 56, F3, 5, 71) (dual of [(56, 5), 143, 72]-NRT-code) | [i] | OOA Duplication | |
6 | Linear OOA(3140, 56, F3, 5, 71) (dual of [(56, 5), 140, 72]-NRT-code) | [i] |