Information on Result #860529
Linear OOA(16106, 55, F16, 2, 94) (dual of [(55, 2), 4, 95]-NRT-code), using OOA 2-folding based on linear OA(16106, 110, F16, 94) (dual of [110, 4, 95]-code), using
- juxtaposition [i] based on
- linear OA(1639, 43, F16, 35) (dual of [43, 4, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(1639, 45, F16, 35) (dual of [45, 6, 36]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1639, 45, F16, 35) (dual of [45, 6, 36]-code), using
- linear OA(1663, 67, F16, 58) (dual of [67, 4, 59]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,8P) [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(1660, 64, F16, 55) (dual of [64, 4, 56]-code), using algebraic-geometric code AG(F,8P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
- dual of repetition code with length 3 [i]
- construction X applied to AG(F,5P) ⊂ AG(F,8P) [i] based on
- linear OA(1639, 43, F16, 35) (dual of [43, 4, 36]-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.