MinT - Information on Result #1715157

Information on Result #1715157

Linear OOA(3²⁴², 932071, F₃, 28, 23) (dual of [(932071, 28), 26097746, 24]-NRT-code), using OOA 3-folding and stacking with additional row based on linear OOA(3²⁴², 2796214, F₃, 4, 23) (dual of [(2796214, 4), 11184614, 24]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3²⁴², 2796214, F₃, 3, 23) (dual of [(2796214, 3), 8388400, 24]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁶, 13, F₃, 3, 11) (dual of [(13, 3), 23, 12]-NRT-code), using
    - extracting embedded OOA [i] based on digital (5, 16, 13)-net over F₃, using
      - net from sequence [i] based on digital (5, 12)-sequence over F₃, using
        Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using an explicitly constructive algebraic function field [i]
  2. linear OOA(3²²⁶, 2796201, F₃, 3, 23) (dual of [(2796201, 3), 8388377, 24]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(3²²⁶, large, F₃, 23) (dual of [large, large−226, 24]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]

Mode: 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 (219, 242, 932071)-net over F₃	[i]		Net Defined by OOA