Information on Result #1015732
Linear OOA(8125, 130, F8, 3, 65) (dual of [(130, 3), 265, 66]-NRT-code), using (u, u+v)-construction based on
- linear OOA(846, 65, F8, 3, 32) (dual of [(65, 3), 149, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,162P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,162P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- linear OOA(879, 65, F8, 3, 65) (dual of [(65, 3), 116, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,129P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (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(8125, 130, F8, 3, 64) (dual of [(130, 3), 265, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8128, 131, F8, 3, 65) (dual of [(131, 3), 265, 66]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8126, 130, F8, 3, 65) (dual of [(130, 3), 264, 66]-NRT-code) | [i] | OOA Duplication | |