MinT - Information on Result #1186351

Information on Result #1186351

Linear OOA(4¹³¹, 1398357, F₄, 15, 13) (dual of [(1398357, 15), 20975224, 14]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(4¹³¹, 2796715, F₄, 3, 13) (dual of [(2796715, 3), 8390014, 14]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(4²², 514, F₄, 3, 6) (dual of [(514, 3), 1520, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (16, 22, 514)-net over F₄, using
    - trace code for nets [i] based on digital (5, 11, 257)-net over F₁₆, using
      - base reduction for projective spaces (embedding PG(5,256) in PG(10,16)) for nets [i] based on digital (0, 6, 257)-net over F₂₅₆, using
        net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
        Niederreiter sequence [i]
2. linear OOA(4¹⁰⁹, 2796201, F₄, 3, 13) (dual of [(2796201, 3), 8388494, 14]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(4¹⁰⁹, large, F₄, 13) (dual of [large, large−109, 14]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (118, 131, 1398357)-net over F₄	[i]		Net Defined by OOA