MinT - Information on Result #895294

Information on Result #895294

Linear OOA(3²²⁴, 4194361, F₃, 2, 20) (dual of [(4194361, 2), 8388498, 21]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²⁸, 60, F₃, 2, 10) (dual of [(60, 2), 92, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 28, 60)-net over F₃, using
  - trace code for nets [i] based on digital (4, 14, 30)-net over F₉, using
    - net from sequence [i] based on digital (4, 29)-sequence over F₉, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 4 and N(F) ≥ 30, using
        a function field by SÃ©mirat [i]
linear OOA(3¹⁹⁶, 4194301, F₃, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁹⁶, 8388602, F₃, 20) (dual of [8388602, 8388406, 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(3²²⁵, 4194361, F₃, 2, 20) (dual of [(4194361, 2), 8388497, 21]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²²⁴, 2097180, F₃, 4, 20) (dual of [(2097180, 4), 8388496, 21]-NRT-code)	[i]		OOA Folding