Information on Result #1844271
(49, 77, 4810)-net in base 128, using (u, u+v)-construction based on
- digital (0, 14, 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
- (35, 63, 4681)-net in base 128, using
- net defined by OOA [i] based on OOA(12863, 4681, S128, 28, 28), using
- OA 14-folding and stacking [i] based on OA(12863, 65534, S128, 28), using
- discarding factors based on OA(12863, 65538, S128, 28), using
- discarding parts of the base [i] based on linear OA(25655, 65538, F256, 28) (dual of [65538, 65483, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25653, 65536, F256, 27) (dual of [65536, 65483, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(27) ⊂ Ce(26) [i] based on
- discarding parts of the base [i] based on linear OA(25655, 65538, F256, 28) (dual of [65538, 65483, 29]-code), using
- discarding factors based on OA(12863, 65538, S128, 28), using
- OA 14-folding and stacking [i] based on OA(12863, 65534, S128, 28), using
- net defined by OOA [i] based on OOA(12863, 4681, S128, 28, 28), 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.