Information on Result #2650422
Linear OOA(12862, 294, F128, 3, 42) (dual of [(294, 3), 820, 43]-NRT-code), using strength reduction based on linear OOA(12862, 294, F128, 3, 43) (dual of [(294, 3), 820, 44]-NRT-code), using
- construction X applied to AG(3;F,817P) ⊂ AG(3;F,828P) [i] based on
- linear OOA(12852, 287, F128, 3, 43) (dual of [(287, 3), 809, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,817P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12841, 287, F128, 3, 32) (dual of [(287, 3), 820, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,828P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(12810, 7, F128, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12810, 128, F128, 3, 10) (dual of [(128, 3), 374, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;374,128) [i]
- discarding factors / shortening the dual code based on linear OOA(12810, 128, F128, 3, 10) (dual of [(128, 3), 374, 11]-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
None.