Information on Result #939706
Linear OOA(4222, 540, F4, 2, 63) (dual of [(540, 2), 858, 64]-NRT-code), using trace code based on linear OOA(6474, 180, F64, 2, 63) (dual of [(180, 2), 286, 64]-NRT-code), using
- construction X applied to AG(2;F,288P) ⊂ AG(2;F,293P) [i] based on
- linear OOA(6470, 176, F64, 2, 63) (dual of [(176, 2), 282, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,288P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6465, 176, F64, 2, 58) (dual of [(176, 2), 287, 59]-NRT-code), using algebraic-geometric NRT-code AG(2;F,293P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(644, 4, F64, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;124,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 2, 4) (dual of [(64, 2), 124, 5]-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, 541, F4, 2, 63) (dual of [(541, 2), 858, 64]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4223, 540, F4, 2, 63) (dual of [(540, 2), 857, 64]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4222, 270, F4, 3, 63) (dual of [(270, 3), 588, 64]-NRT-code) | [i] | OOA Folding | |