Information on Result #1047904
Linear OOA(2258, 207, F2, 3, 65) (dual of [(207, 3), 363, 66]-NRT-code), using trace code based on linear OOA(886, 69, F8, 3, 65) (dual of [(69, 3), 121, 66]-NRT-code), using
- construction X applied to AG(3;F,126P) ⊂ AG(3;F,134P) [i] based on
- linear OOA(879, 64, F8, 3, 65) (dual of [(64, 3), 113, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,126P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(871, 64, F8, 3, 57) (dual of [(64, 3), 121, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,134P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(87, 5, F8, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;17,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- linear OOA(879, 64, F8, 3, 65) (dual of [(64, 3), 113, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,126P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, 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(2259, 207, F2, 3, 65) (dual of [(207, 3), 362, 66]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2260, 207, F2, 3, 65) (dual of [(207, 3), 361, 66]-NRT-code) | [i] | ||
| 3 | Linear OOA(2258, 103, F2, 5, 65) (dual of [(103, 5), 257, 66]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2258, 103, F2, 6, 65) (dual of [(103, 6), 360, 66]-NRT-code) | [i] | ||