MinT - Information on Result #1117853

Information on Result #1117853

Linear OOA(3²²², 1677776, F₃, 5, 20) (dual of [(1677776, 5), 8388658, 21]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²⁶, 56, F₃, 5, 10) (dual of [(56, 5), 254, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (16, 26, 56)-net over F₃, using
  - trace code for nets [i] based on digital (3, 13, 28)-net over F₉, using
    - net from sequence [i] based on digital (3, 27)-sequence over F₉, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
        the Hermitian function field over F₉ [i]
linear OOA(3¹⁹⁶, 1677720, F₃, 5, 20) (dual of [(1677720, 5), 8388404, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3¹⁹⁶, 8388600, F₃, 20) (dual of [8388600, 8388404, 21]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁹⁶, large, F₃, 20) (dual of [large, large−196, 21]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²²³, 1677776, F₃, 5, 20) (dual of [(1677776, 5), 8388657, 21]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²²², 838887, F₃, 25, 20) (dual of [(838887, 25), 20971953, 21]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row