Information on Result #939704
Linear OOA(4222, 546, F4, 2, 61) (dual of [(546, 2), 870, 62]-NRT-code), using trace code based on linear OOA(6474, 182, F64, 2, 61) (dual of [(182, 2), 290, 62]-NRT-code), using
- construction X applied to AG(2;F,290P) ⊂ AG(2;F,297P) [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(6461, 176, F64, 2, 54) (dual of [(176, 2), 291, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,297P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(646, 6, F64, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;122,64) [i]
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 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(4224, 547, F4, 2, 61) (dual of [(547, 2), 870, 62]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4223, 546, F4, 2, 61) (dual of [(546, 2), 869, 62]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4222, 273, F4, 3, 61) (dual of [(273, 3), 597, 62]-NRT-code) | [i] | OOA Folding | |