Information on Result #827085
Linear OOA(4166, 272, F4, 2, 46) (dual of [(272, 2), 378, 47]-NRT-code), using OOA 2-folding based on linear OA(4166, 544, F4, 46) (dual of [544, 378, 47]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4165, 543, F4, 46) (dual of [543, 378, 47]-code), using
- trace code [i] based on linear OA(6455, 181, F64, 46) (dual of [181, 126, 47]-code), using
- construction X applied to AG(F,129P) ⊂ AG(F,132P) [i] based on
- linear OA(6453, 176, F64, 46) (dual of [176, 123, 47]-code), using algebraic-geometric code AG(F,129P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6450, 176, F64, 43) (dual of [176, 126, 44]-code), using algebraic-geometric code AG(F,132P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(642, 5, F64, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- construction X applied to AG(F,129P) ⊂ AG(F,132P) [i] based on
- trace code [i] based on linear OA(6455, 181, F64, 46) (dual of [181, 126, 47]-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.