Information on Result #1844174
(34, 53, 7431)-net in base 128, using (u, u+v)-construction based on
- digital (1, 10, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- (24, 43, 7281)-net in base 128, using
- net defined by OOA [i] based on OOA(12843, 7281, S128, 19, 19), using
- OOA 9-folding and stacking with additional row [i] based on OA(12843, 65530, S128, 19), using
- discarding factors based on OA(12843, 65538, S128, 19), using
- discarding parts of the base [i] based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding parts of the base [i] based on linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- discarding factors based on OA(12843, 65538, S128, 19), using
- OOA 9-folding and stacking with additional row [i] based on OA(12843, 65530, S128, 19), using
- net defined by OOA [i] based on OOA(12843, 7281, S128, 19, 19), using
Mode: Constructive.
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.