MinT - Information on Result #1210975

Information on Result #1210975

Digital (238, 259, 3355457)-net over F₄, using (u,Â u+v)-construction based on

digital (5, 15, 17)-net over F₄, using
- net from sequence [i] based on digital (5, 16)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
digital (223, 244, 3355440)-net over F₄, using
- trace code for nets [i] based on digital (101, 122, 1677720)-net over F₁₆, using
  - net defined by OOA [i] based on linear OOA(16¹²², 1677720, F₁₆, 22, 21) (dual of [(1677720, 22), 36909718, 22]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OOA(16¹²², 8388601, F₁₆, 2, 21) (dual of [(8388601, 2), 16777080, 22]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(16¹²², 8388602, F₁₆, 2, 21) (dual of [(8388602, 2), 16777082, 22]-NRT-code), using
        trace code [i] based on linear OOA(256⁶¹, 4194301, F₂₅₆, 2, 21) (dual of [(4194301, 2), 8388541, 22]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256⁶¹, 8388602, F₂₅₆, 21) (dual of [8388602, 8388541, 22]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁶¹, large, F₂₅₆, 21) (dual of [large, large−61, 22]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

Mode: Constructive and linear.

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.