MinT - Information on Result #2687946

Information on Result #2687946

Linear OOA(4²⁶⁰, 2796442, F₄, 3, 24) (dual of [(2796442, 3), 8389066, 25]-NRT-code), using 4² times duplication based on linear OOA(4²⁵⁸, 2796442, F₄, 3, 24) (dual of [(2796442, 3), 8389068, 25]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(4²⁵⁵, 2796441, F₄, 3, 24) (dual of [(2796441, 3), 8389068, 25]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4³⁹, 240, F₄, 3, 12) (dual of [(240, 3), 681, 13]-NRT-code), using
    - extracting embedded OOA [i] based on digital (27, 39, 240)-net over F₄, using
      - trace code for nets [i] based on digital (1, 13, 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]
  2. linear OOA(4²¹⁶, 2796201, F₄, 3, 24) (dual of [(2796201, 3), 8388387, 25]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(4²¹⁶, large, F₄, 24) (dual of [large, large−216, 25]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’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.

Other Results with Identical Parameters

None.

Depending Results

None.