MinT - Information on Result #1081230

Information on Result #1081230

Linear OOA(3¹⁶⁹, 2097182, F₃, 4, 16) (dual of [(2097182, 4), 8388559, 17]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹⁸, 32, F₃, 4, 8) (dual of [(32, 4), 110, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 18, 32)-net over F₃, using
  - trace code for nets [i] based on digital (1, 9, 16)-net over F₉, using
    - net from sequence [i] based on digital (1, 15)-sequence over F₉, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
        a function field by GarcÃa and Quoos [i]
linear OOA(3¹⁵¹, 2097150, F₃, 4, 16) (dual of [(2097150, 4), 8388449, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3¹⁵¹, 8388600, F₃, 16) (dual of [8388600, 8388449, 17]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁵¹, large, F₃, 16) (dual of [large, large−151, 17]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁷⁰, 2097182, F₃, 4, 16) (dual of [(2097182, 4), 8388558, 17]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹⁶⁹, 1048590, F₃, 20, 16) (dual of [(1048590, 20), 20971631, 17]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row