MinT - Information on Result #1221532

Information on Result #1221532

Digital (61, 83, 1498)-net over F₂₅, using (u,Â u+v)-construction based on

digital (8, 19, 78)-net over F₂₅, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 5, 26)-net over F₂₅, using
    - net from sequence [i] based on digital (0, 25)-sequence over F₂₅, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using
        the rational function field F₂₅(x) [i]
      - Niederreiter sequence [i]
  2. digital (3, 14, 52)-net over F₂₅, using
    - net from sequence [i] based on digital (3, 51)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 3 and N(F) ≥ 52, using
        a function field by GarcÃa and Quoos [i]
digital (42, 64, 1420)-net over F₂₅, using
- net defined by OOA [i] based on linear OOA(25⁶⁴, 1420, F₂₅, 22, 22) (dual of [(1420, 22), 31176, 23]-NRT-code), using
  - OA 11-folding and stacking [i] based on linear OA(25⁶⁴, 15620, F₂₅, 22) (dual of [15620, 15556, 23]-code), using
    - discarding factors / shortening the dual code based on linear OA(25⁶⁴, 15625, F₂₅, 22) (dual of [15625, 15561, 23]-code), using
      - an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 15624Â = 25³âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Constructive and linear.

None.

None.