Information on Result #939667
Linear OOA(4210, 555, F4, 2, 54) (dual of [(555, 2), 900, 55]-NRT-code), using trace code based on linear OOA(6470, 185, F64, 2, 54) (dual of [(185, 2), 300, 55]-NRT-code), using
- construction X applied to AG(2;F,297P) ⊂ AG(2;F,307P) [i] based on
- 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, using
- linear OOA(6451, 176, F64, 2, 44) (dual of [(176, 2), 301, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,307P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(649, 9, F64, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(649, 64, F64, 2, 9) (dual of [(64, 2), 119, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(2;119,64) [i]
- discarding factors / shortening the dual code based on linear OOA(649, 64, F64, 2, 9) (dual of [(64, 2), 119, 10]-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(4212, 556, F4, 2, 54) (dual of [(556, 2), 900, 55]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4211, 555, F4, 2, 54) (dual of [(555, 2), 899, 55]-NRT-code) | [i] | OOA Duplication | |