Information on Result #1228148
Digital (31, 43, 349783)-net over F128, using (u, u+v)-construction based on
- digital (3, 9, 258)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (0, 3, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- digital (0, 6, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128 (see above)
- digital (0, 3, 129)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (22, 34, 349525)-net over F128, using
- net defined by OOA [i] based on linear OOA(12834, 349525, F128, 12, 12) (dual of [(349525, 12), 4194266, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(12834, 2097150, F128, 12) (dual of [2097150, 2097116, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(12834, 2097152, F128, 12) (dual of [2097152, 2097118, 13]-code), using
- OA 6-folding and stacking [i] based on linear OA(12834, 2097150, F128, 12) (dual of [2097150, 2097116, 13]-code), using
- net defined by OOA [i] based on linear OOA(12834, 349525, F128, 12, 12) (dual of [(349525, 12), 4194266, 13]-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.