MinT - Information on Result #1215626

Information on Result #1215626

Digital (150, 169, 1864294)-net over F₈, using (u,Â u+v)-construction based on

digital (11, 20, 160)-net over F₈, using
- trace code for nets [i] based on digital (1, 10, 80)-net over F₆₄, using
  - net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
      - a function field by SÃ©mirat [i]
digital (130, 149, 1864134)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8¹⁴⁹, 1864134, F₈, 21, 19) (dual of [(1864134, 21), 39146665, 20]-NRT-code), using
  - OOA 3-folding and stacking with additional row [i] based on linear OOA(8¹⁴⁹, 5592403, F₈, 3, 19) (dual of [(5592403, 3), 16777060, 20]-NRT-code), using
    - 1 times NRT-code embedding in larger space [i] based on linear OOA(8¹⁴⁶, 5592402, F₈, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code), using
      - trace code [i] based on linear OOA(64⁷³, 2796201, F₆₄, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
        OOA 3-folding [i] based on linear OA(64⁷³, large, F₆₄, 19) (dual of [large, large−73, 20]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [i]

Mode: Constructive and linear.

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None.