Information on Result #1211199
Digital (187, 212, 349534)-net over F4, using (u, u+v)-construction based on
- digital (1, 13, 9)-net over F4, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- digital (174, 199, 349525)-net over F4, using
- net defined by OOA [i] based on linear OOA(4199, 349525, F4, 25, 25) (dual of [(349525, 25), 8737926, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(4199, 4194301, F4, 25) (dual of [4194301, 4194102, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(4199, 4194301, F4, 25) (dual of [4194301, 4194102, 26]-code), using
- net defined by OOA [i] based on linear OOA(4199, 349525, F4, 25, 25) (dual of [(349525, 25), 8737926, 26]-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.