MinT - Information on Result #1012200

Information on Result #1012200

Linear OOA(4²⁴¹, 2796235, F₄, 3, 25) (dual of [(2796235, 3), 8388464, 26]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(4²⁴, 34, F₄, 3, 12) (dual of [(34, 3), 78, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 24, 34)-net over F₄, using
  - trace code for nets [i] based on digital (0, 12, 17)-net over F₁₆, using
    - net from sequence [i] based on digital (0, 16)-sequence over F₁₆, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 0 and N(F) ≥ 17, using
        the rational function field F₁₆(x) [i]
      - Niederreiter sequence [i]
linear OOA(4²¹⁷, 2796201, F₄, 3, 25) (dual of [(2796201, 3), 8388386, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4²¹⁷, large, F₄, 25) (dual of [large, large−217, 26]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(4²⁴¹, 2796235, F₄, 3, 24) (dual of [(2796235, 3), 8388464, 25]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²⁴², 2796235, F₄, 3, 25) (dual of [(2796235, 3), 8388463, 26]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(4²⁴¹, 699058, F₄, 27, 25) (dual of [(699058, 27), 18874325, 26]-NRT-code)	[i]	OOA Folding and Stacking with Additional Row