MinT - Information on Result #1187106

Information on Result #1187106

Digital (186, 207, 838875)-net over F₄, using net defined by OOA based on linear OOA(4²⁰⁷, 838875, F₄, 22, 21) (dual of [(838875, 22), 18455043, 22]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OOA(4²⁰⁷, 4194376, F₄, 2, 21) (dual of [(4194376, 2), 8388545, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁰⁷, 4194377, F₄, 2, 21) (dual of [(4194377, 2), 8388547, 22]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(4²⁶, 76, F₄, 2, 10) (dual of [(76, 2), 126, 11]-NRT-code), using
      - extracting embedded OOA [i] based on digital (16, 26, 76)-net over F₄, using
        trace code for nets [i] based on digital (3, 13, 38)-net over F₁₆, using
        net from sequence [i] based on digital (3, 37)-sequence over F₁₆, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
        a function field by SÃ©mirat [i]
    2. linear OOA(4¹⁸¹, 4194301, F₄, 2, 21) (dual of [(4194301, 2), 8388421, 22]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(4¹⁸¹, 8388602, F₄, 21) (dual of [8388602, 8388421, 22]-code), using
        discarding factors / shortening the dual code based on linear OA(4¹⁸¹, large, F₄, 21) (dual of [large, large−181, 22]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’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.