Information on Result #1196084
Digital (14, 24, 130)-net over F25, using net defined by OOA based on linear OOA(2524, 130, F25, 10, 10) (dual of [(130, 10), 1276, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2524, 650, F25, 10) (dual of [650, 626, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2524, 651, F25, 10) (dual of [651, 627, 11]-code), using
- (u, u+v)-construction [i] based on
- linear OA(255, 26, F25, 5) (dual of [26, 21, 6]-code or 26-arc in PG(4,25)), using
- extended Reed–Solomon code RSe(21,25) [i]
- the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- algebraic-geometric code AG(F,10P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- algebraic-geometric code AG(F, Q+6P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(2519, 625, F25, 10) (dual of [625, 606, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(255, 26, F25, 5) (dual of [26, 21, 6]-code or 26-arc in PG(4,25)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2524, 651, F25, 10) (dual of [651, 627, 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.