Information on Result #1082312
Linear OOA(8114, 200, F81, 4, 8) (dual of [(200, 4), 786, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(815, 100, F81, 4, 4) (dual of [(100, 4), 395, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,295P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- appending kth column [i] based on linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- linear OOA(819, 100, F81, 4, 8) (dual of [(100, 4), 391, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,391P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100 (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(8160, 133061, F81, 4, 16) (dual of [(133061, 4), 532184, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8175, 2097350, F81, 4, 16) (dual of [(2097350, 4), 8389325, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(8147, 1840, F81, 4, 17) (dual of [(1840, 4), 7313, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(8163, 133061, F81, 4, 17) (dual of [(133061, 4), 532181, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(8179, 2097350, F81, 4, 17) (dual of [(2097350, 4), 8389321, 18]-NRT-code) | [i] | ||