MinT - Information on Result #1192626

Information on Result #1192626

Digital (143, 167, 174771)-net over F₈, using net defined by OOA based on linear OOA(8¹⁶⁷, 174771, F₈, 27, 24) (dual of [(174771, 27), 4718650, 25]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(8¹⁶⁷, 699085, F₈, 3, 24) (dual of [(699085, 3), 2097088, 25]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8²⁰, 35, F₈, 3, 12) (dual of [(35, 3), 85, 13]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 20, 35)-net over F₈, using
      - net from sequence [i] based on digital (8, 34)-sequence over F₈, using
        Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₈ with g(F)Â =Â 7, N(F)Â =Â 34, and 1 place with degree 2 [i] based on function field F/F₈ with g(F) = 7 and N(F) ≥ 34, using a function field by SÃ©mirat [i]
  2. linear OOA(8¹⁴⁷, 699050, F₈, 3, 24) (dual of [(699050, 3), 2097003, 25]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(8¹⁴⁷, 2097150, F₈, 24) (dual of [2097150, 2097003, 25]-code), using
      - discarding factors / shortening the dual code based on linear OA(8¹⁴⁷, 2097151, F₈, 24) (dual of [2097151, 2097004, 25]-code), using
        1 times truncation [i] based on linear OA(8¹⁴⁸, 2097152, F₈, 25) (dual of [2097152, 2097004, 26]-code), using
        an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 2097151Â = 8⁷âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [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.