Information on Result #938612
Linear OOA(3172, 158, F3, 2, 63) (dual of [(158, 2), 144, 64]-NRT-code), using trace code based on linear OOA(986, 79, F9, 2, 63) (dual of [(79, 2), 72, 64]-NRT-code), using
- construction X applied to AG(2;F,82P) ⊂ AG(2;F,89P) [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(973, 73, F9, 2, 56) (dual of [(73, 2), 73, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,89P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(96, 6, F9, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(96, 9, F9, 2, 6) (dual of [(9, 2), 12, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;12,9) [i]
- discarding factors / shortening the dual code based on linear OOA(96, 9, F9, 2, 6) (dual of [(9, 2), 12, 7]-NRT-code), using
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(3173, 158, F3, 2, 63) (dual of [(158, 2), 143, 64]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3172, 79, F3, 4, 63) (dual of [(79, 4), 144, 64]-NRT-code) | [i] | OOA Folding | |