Information on Result #859013
Linear OOA(1682, 54, F16, 2, 53) (dual of [(54, 2), 26, 54]-NRT-code), using OOA 2-folding based on linear OA(1682, 108, F16, 53) (dual of [108, 26, 54]-code), using
- construction X applied to AG(F,10P) ⊂ AG(F,31P) [i] based on
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using algebraic-geometric code AG(F,10P) 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(1638, 64, F16, 32) (dual of [64, 26, 33]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1624, 44, F16, 20) (dual of [44, 20, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1624, 45, F16, 20) (dual of [45, 21, 21]-code), using
- extended algebraic-geometric code AGe(F,24P) [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(1624, 45, F16, 20) (dual of [45, 21, 21]-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.