Information on Result #940733
Linear OOA(8170, 386, F8, 2, 61) (dual of [(386, 2), 602, 62]-NRT-code), using trace code based on linear OOA(6485, 193, F64, 2, 61) (dual of [(193, 2), 301, 62]-NRT-code), using
- construction X applied to AG(2;F,290P) ⊂ AG(2;F,308P) [i] based on
- linear OOA(6468, 176, F64, 2, 61) (dual of [(176, 2), 284, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,290P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6450, 176, F64, 2, 43) (dual of [(176, 2), 302, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,308P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6417, 17, F64, 2, 17) (dual of [(17, 2), 17, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6417, 64, F64, 2, 17) (dual of [(64, 2), 111, 18]-NRT-code), using
- Reed–Solomon NRT-code RS(2;111,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6417, 64, F64, 2, 17) (dual of [(64, 2), 111, 18]-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(8171, 386, F8, 2, 61) (dual of [(386, 2), 601, 62]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8170, 193, F8, 3, 61) (dual of [(193, 3), 409, 62]-NRT-code) | [i] | OOA Folding | |