MinT - Information on Result #1219310

Information on Result #1219310

Digital (110, 130, 1677765)-net over F₁₆, using (u,Â u+v)-construction based on

digital (4, 14, 45)-net over F₁₆, using
- net from sequence [i] based on digital (4, 44)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
    - a function field by GarcÃa and Quoos [i]
digital (96, 116, 1677720)-net over F₁₆, using
- net defined by OOA [i] based on linear OOA(16¹¹⁶, 1677720, F₁₆, 22, 20) (dual of [(1677720, 22), 36909724, 21]-NRT-code), using
  - OOA 5-folding and stacking with additional row [i] based on linear OOA(16¹¹⁶, 8388601, F₁₆, 2, 20) (dual of [(8388601, 2), 16777086, 21]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(16¹¹⁶, 8388602, F₁₆, 2, 20) (dual of [(8388602, 2), 16777088, 21]-NRT-code), using
      - trace code [i] based on linear OOA(256⁵⁸, 4194301, F₂₅₆, 2, 20) (dual of [(4194301, 2), 8388544, 21]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256⁵⁸, 8388602, F₂₅₆, 20) (dual of [8388602, 8388544, 21]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁵⁸, large, F₂₅₆, 20) (dual of [large, large−58, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]

Mode: Constructive and linear.

None.

None.