Information on Result #938648
Linear OOA(3178, 164, F3, 2, 63) (dual of [(164, 2), 150, 64]-NRT-code), using trace code based on linear OOA(989, 82, F9, 2, 63) (dual of [(82, 2), 75, 64]-NRT-code), using
- construction X applied to AG(2;F,82P) ⊂ AG(2;F,92P) [i] based on
- linear OOA(980, 73, F9, 2, 63) (dual of [(73, 2), 66, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,82P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(970, 73, F9, 2, 53) (dual of [(73, 2), 76, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,92P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(99, 9, F9, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,9) [i]
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(3179, 164, F3, 2, 63) (dual of [(164, 2), 149, 64]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3178, 82, F3, 4, 63) (dual of [(82, 4), 150, 64]-NRT-code) | [i] | OOA Folding | |