Information on Result #859272
Linear OOA(1694, 61, F16, 2, 58) (dual of [(61, 2), 28, 59]-NRT-code), using OOA 2-folding based on linear OA(1694, 122, F16, 58) (dual of [122, 28, 59]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,33P) [i] based on
- linear OA(1661, 64, F16, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OA(1636, 64, F16, 30) (dual of [64, 28, 31]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1633, 58, F16, 27) (dual of [58, 25, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-code), using
- algebraic-geometric code AG(F,36P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- discarding factors / shortening the dual code based on linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-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.