Information on Result #1810440
Digital (13, 32, 169)-net over F49, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4932, 169, F49, 19) (dual of [169, 137, 20]-code), using
- 66 step Varšamov–Edel lengthening with (ri) = (5, 0, 1, 4 times 0, 1, 10 times 0, 1, 18 times 0, 1, 28 times 0) [i] based on linear OA(4923, 94, F49, 19) (dual of [94, 71, 20]-code), using
- construction X applied to AG(F,71P) ⊂ AG(F,73P) [i] based on
- linear OA(4922, 91, F49, 19) (dual of [91, 69, 20]-code), using algebraic-geometric code AG(F,71P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- linear OA(4920, 91, F49, 17) (dual of [91, 71, 18]-code), using algebraic-geometric code AG(F,73P) [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92 (see above)
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,71P) ⊂ AG(F,73P) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.