Information on Result #1211514
Digital (196, 227, 17491)-net over F4, using (u, u+v)-construction based on
- digital (4, 19, 15)-net over F4, using
- net from sequence [i] based on digital (4, 14)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 4 and N(F) ≥ 15, using
- net from sequence [i] based on digital (4, 14)-sequence over F4, using
- digital (177, 208, 17476)-net over F4, using
- net defined by OOA [i] based on linear OOA(4208, 17476, F4, 31, 31) (dual of [(17476, 31), 541548, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(4208, 262141, F4, 31) (dual of [262141, 261933, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- discarding factors / shortening the dual code based on linear OA(4208, 262144, F4, 31) (dual of [262144, 261936, 32]-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(4208, 262141, F4, 31) (dual of [262141, 261933, 32]-code), using
- net defined by OOA [i] based on linear OOA(4208, 17476, F4, 31, 31) (dual of [(17476, 31), 541548, 32]-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.