Information on Result #1195368
Digital (70, 87, 131081)-net over F16, using net defined by OOA based on linear OOA(1687, 131081, F16, 18, 17) (dual of [(131081, 18), 2359371, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1687, 524325, F16, 2, 17) (dual of [(524325, 2), 1048563, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1687, 524326, F16, 2, 17) (dual of [(524326, 2), 1048565, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1611, 38, F16, 2, 8) (dual of [(38, 2), 65, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,67P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OOA(1676, 524288, F16, 2, 17) (dual of [(524288, 2), 1048500, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 2-folding [i] based on linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using
- linear OOA(1611, 38, F16, 2, 8) (dual of [(38, 2), 65, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1687, 524326, F16, 2, 17) (dual of [(524326, 2), 1048565, 18]-NRT-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.