MinT - Information on Result #895191

Information on Result #895191

Linear OOA(3¹⁸⁸, 4194357, F₃, 2, 17) (dual of [(4194357, 2), 8388526, 18]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3²², 56, F₃, 2, 8) (dual of [(56, 2), 90, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 22, 56)-net over F₃, using
  - trace code for nets [i] based on digital (3, 11, 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(3¹⁶⁶, 4194301, F₃, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁶⁶, 8388602, F₃, 17) (dual of [8388602, 8388436, 18]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, large, F₃, 17) (dual of [large, large−166, 18]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁸⁹, 4194357, F₃, 2, 17) (dual of [(4194357, 2), 8388525, 18]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3¹⁸⁸, 2097178, F₃, 4, 17) (dual of [(2097178, 4), 8388524, 18]-NRT-code)	[i]		OOA Folding