Information on Result #857574
Linear OOA(1638, 33, F16, 2, 31) (dual of [(33, 2), 28, 32]-NRT-code), using OOA 2-folding based on linear OA(1638, 66, F16, 31) (dual of [66, 28, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(1638, 67, F16, 31) (dual of [67, 29, 32]-code), using
- construction X applied to AG(F,32P) ⊂ AG(F,34P) [i] based on
- linear OA(1637, 64, F16, 31) (dual of [64, 27, 32]-code), using algebraic-geometric code AG(F,32P) [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(1635, 64, F16, 29) (dual of [64, 29, 30]-code), using algebraic-geometric code AG(F,34P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1637, 64, F16, 31) (dual of [64, 27, 32]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(F,32P) ⊂ AG(F,34P) [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
None.