Information on Result #939573
Linear OOA(4159, 537, F4, 2, 43) (dual of [(537, 2), 915, 44]-NRT-code), using trace code based on linear OOA(6453, 179, F64, 2, 43) (dual of [(179, 2), 305, 44]-NRT-code), using
- construction X applied to AG(2;F,308P) ⊂ AG(2;F,312P) [i] based on
- 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, using
- linear OOA(6446, 176, F64, 2, 39) (dual of [(176, 2), 306, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,312P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(643, 3, F64, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;125,64) [i]
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-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(4161, 538, F4, 2, 43) (dual of [(538, 2), 915, 44]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4160, 537, F4, 2, 43) (dual of [(537, 2), 914, 44]-NRT-code) | [i] | OOA Duplication | |