Information on Result #1200490
Digital (14, 24, 490)-net over F49, using net defined by OOA based on linear OOA(4924, 490, F49, 10, 10) (dual of [(490, 10), 4876, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(4924, 2450, F49, 10) (dual of [2450, 2426, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(4924, 2451, F49, 10) (dual of [2451, 2427, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(495, 50, F49, 5) (dual of [50, 45, 6]-code or 50-arc in PG(4,49)), using
- extended Reed–Solomon code RSe(45,49) [i]
- the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- algebraic-geometric code AG(F,22P) with degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
- algebraic-geometric code AG(F, Q+14P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- algebraic-geometric code AG(F, Q+8P) with degQ = 4 and degPÂ =Â 5 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(495, 50, F49, 5) (dual of [50, 45, 6]-code or 50-arc in PG(4,49)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4924, 2451, F49, 10) (dual of [2451, 2427, 11]-code), using
Mode: Constructive and 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.