Information on Result #941107
Linear OOA(8127, 134, F8, 2, 63) (dual of [(134, 2), 141, 64]-NRT-code), using (u, u+v)-construction based on
- linear OOA(845, 65, F8, 2, 31) (dual of [(65, 2), 85, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,98P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,98P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- linear OOA(882, 69, F8, 2, 63) (dual of [(69, 2), 56, 64]-NRT-code), using
- construction X applied to AG(2;F,64P) ⊂ AG(2;F,70P) [i] based on
- linear OOA(877, 64, F8, 2, 63) (dual of [(64, 2), 51, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,64P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(871, 64, F8, 2, 57) (dual of [(64, 2), 57, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,70P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(85, 5, F8, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(85, 8, F8, 2, 5) (dual of [(8, 2), 11, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;11,8) [i]
- discarding factors / shortening the dual code based on linear OOA(85, 8, F8, 2, 5) (dual of [(8, 2), 11, 6]-NRT-code), using
- construction X applied to AG(2;F,64P) ⊂ AG(2;F,70P) [i] based on
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(8127, 67, F8, 3, 63) (dual of [(67, 3), 74, 64]-NRT-code) | [i] | OOA Folding | |